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Finding the Fourth Proportional to 307,538.92, 461,385.18 and 85,921

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Solution

The fourth proportional to 307,538.92, 461,385.18 and 85,921 is: 128,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,538.92 : 461,385.18 = 85,921 : x
  2. Step 2: Convert to fraction form
    307,538.92/461,385.18 = 85,921/x
  3. Step 3: Cross multiply
    307,538.92x = 461,385.18 × 85,921
  4. Step 4: Simplify right side
    307,538.92x = 39,642,676,050.78
  5. Step 5: Solve for x
    x = 39,642,676,050.78/307,538.92
  6. Step 6: Final answer
    x = 128,902.96

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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.