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Finding the Fourth Proportional to 202,049.24, 303,107.76 and 61,775

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Solution

The fourth proportional to 202,049.24, 303,107.76 and 61,775 is: 92,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049.24 : 303,107.76 = 61,775 : x
  2. Step 2: Convert to fraction form
    202,049.24/303,107.76 = 61,775/x
  3. Step 3: Cross multiply
    202,049.24x = 303,107.76 × 61,775
  4. Step 4: Simplify right side
    202,049.24x = 18,724,481,874
  5. Step 5: Solve for x
    x = 18,724,481,874/202,049.24
  6. Step 6: Final answer
    x = 92,672.86

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