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Finding the Fourth Proportional to 206,399.46, 284,862.38 and 125,873.70

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Solution

The fourth proportional to 206,399.46, 284,862.38 and 125,873.70 is: 173,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,399.46 : 284,862.38 = 125,873.70 : x
  2. Step 2: Convert to fraction form
    206,399.46/284,862.38 = 125,873.70/x
  3. Step 3: Cross multiply
    206,399.46x = 284,862.38 × 125,873.70
  4. Step 4: Simplify right side
    206,399.46x = 35,856,681,761.41
  5. Step 5: Solve for x
    x = 35,856,681,761.41/206,399.46
  6. Step 6: Final answer
    x = 173,724.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.