Answer
The part "I would be rich" is the conclusion.
Work Step by Step
By definition, "conclusion" means the final outcomes of a process, an event or an action. This means conclusions always happen after the events/processes/actions that cause them to occur. In the sentence given, "If I had a lot of money, I would be rich", suppose that "I had a lot of money is a conclusion". This indicates that "I would be rich" is an event. Realistically, a person could not be rich before they actually possess the money, which points out the illogical aspect of our assumption. Therefore, "I would be rich" is a conclusion, because it is the outcome of receiving a lot of money.