I'm not familiar with Dropbox, but the installation has to be performed on the computer on which the program will be used.
Why not just download and install the program software onto the new faster computer instead of using the CD? Even if you bought a CD, you can get a complimentary download of the software. I'll tell you how to do it in a comment to follow this one. The download is also more up to date than the CD.
If you are an Advantage member and received a CD, there should already be a complimentary download in your Advantage account here:
https://shopping.turbotax.intuit.com/app/downloads/
By the way, the license allows you to install on up to 5 computers you own. If you are not an Advantage member, see my next comment on how to download.
