Still, if I had $100,000 burning a hole in my pocket, I can buy a whirlwind tour of the globe in the next five minutes and be done with it in less than a year. Maybe I could afford a $100,000 to goto business school for 2 years. Some searching reveals that LBS has an admit rate of 22%, which seems possible, especially if your folks are connected. Otherwise, Dartmouth isn't really too high on the list.
Again, nothing against her. Her accomplishments are fine, but it's not really unheard of or that uncommon, and certainly nothing for you to become envious about.
I was an immigrant, thought did so at a younger age than her. Many of the people I know come from a similar background, and though not everyone has the money to travel or eat fancy, plenty go to / went to good schools for college and postgrad on merit alone.