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Finding the Fourth Proportional to 202,538.77, 303,522.93 and 154,969.69

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Solution

The fourth proportional to 202,538.77, 303,522.93 and 154,969.69 is: 232,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.77 : 303,522.93 = 154,969.69 : x
  2. Step 2: Convert to fraction form
    202,538.77/303,522.93 = 154,969.69/x
  3. Step 3: Cross multiply
    202,538.77x = 303,522.93 × 154,969.69
  4. Step 4: Simplify right side
    202,538.77x = 47,036,854,369.99
  5. Step 5: Solve for x
    x = 47,036,854,369.99/202,538.77
  6. Step 6: Final answer
    x = 232,236.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.