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Finding the Fourth Proportional to 138,640.70, 207,961.05 and 76,432.70

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Solution

The fourth proportional to 138,640.70, 207,961.05 and 76,432.70 is: 114,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640.70 : 207,961.05 = 76,432.70 : x
  2. Step 2: Convert to fraction form
    138,640.70/207,961.05 = 76,432.70/x
  3. Step 3: Cross multiply
    138,640.70x = 207,961.05 × 76,432.70
  4. Step 4: Simplify right side
    138,640.70x = 15,895,024,546.34
  5. Step 5: Solve for x
    x = 15,895,024,546.34/138,640.70
  6. Step 6: Final answer
    x = 114,649.05

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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.