AnkitMaheshwari - 3:35 pm on Jan 11, 2011 (gmt 0)

Personally I have no idea if Google uses randomizer or not.
However, one thing that comes to my mind is personalization through browser cookies. It might be that you use FF most often while surfing this client's site/place page followed by IE and Chrome which could be the result of this ranking difference.

My suggestion that you should clear the cache of all three browser and run the search again.