A currency trader observes the following quotes in the spot market:

$1$ U$.$S$.$ dollar $=120\mathrm{.}00$ Japanese yen

$1$ British pound $=1\mathrm{.}16$ Swiss francs

$1$ British pound $=1\mathrm{.}30$ U$.$S$.$ dollars

Given this information, how many yen can be purchased for $1$ Swiss franc? Do not round the intermediate calculations and round the final answer to four decimal places.

a$.180\mathrm{.}9600$ yen

b$.156\mathrm{.}0000$ yen

c$.134\mathrm{.}4828$ yen

d$.107\mathrm{.}0769$ yen

e$.79\mathrm{.}5756$ yen