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Finding the Fourth Proportional to 138,747.12, 208,109.92 and 38,902

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Solution

The fourth proportional to 138,747.12, 208,109.92 and 38,902 is: 58,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,747.12 : 208,109.92 = 38,902 : x
  2. Step 2: Convert to fraction form
    138,747.12/208,109.92 = 38,902/x
  3. Step 3: Cross multiply
    138,747.12x = 208,109.92 × 38,902
  4. Step 4: Simplify right side
    138,747.12x = 8,095,892,107.84
  5. Step 5: Solve for x
    x = 8,095,892,107.84/138,747.12
  6. Step 6: Final answer
    x = 58,349.98

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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.