If you want to keep you 18.104.22.168 information you can do in a simple way:
- Dump you database from 22.214.171.124
- Import your dump to the new database
- Point the 126.96.36.199 installation to the new database by editing
app/etc/local.xml. No need to run the setup procedure
I did it a lot of times without problems. When your 188.8.131.52 Magento will check your DB it will upgrade to the new Magento version and you will keep all your information. You catalog will be copied as well as your customers and so on.
Just make sure you have the same payment method modules as well as the shipping methods if you want to see old orders. If you do not want old customers or old orders to be copied you can clean them after your new install.
NOTE: This may leave some orphan information if your Magento 184.108.40.206 installation has different modules operating on DB, but nothing to concern, it should work without problems.