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Finding the Fourth Proportional to 138,747.60, 208,110.69 and 38,902.50

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Solution

The fourth proportional to 138,747.60, 208,110.69 and 38,902.50 is: 58,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,747.60 : 208,110.69 = 38,902.50 : x
  2. Step 2: Convert to fraction form
    138,747.60/208,110.69 = 38,902.50/x
  3. Step 3: Cross multiply
    138,747.60x = 208,110.69 × 38,902.50
  4. Step 4: Simplify right side
    138,747.60x = 8,096,026,117.73
  5. Step 5: Solve for x
    x = 8,096,026,117.73/138,747.60
  6. Step 6: Final answer
    x = 58,350.75

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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.