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Finding the Fourth Proportional to 204,098.60, 306,104.16 and 63,839

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Solution

The fourth proportional to 204,098.60, 306,104.16 and 63,839 is: 95,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,098.60 : 306,104.16 = 63,839 : x
  2. Step 2: Convert to fraction form
    204,098.60/306,104.16 = 63,839/x
  3. Step 3: Cross multiply
    204,098.60x = 306,104.16 × 63,839
  4. Step 4: Simplify right side
    204,098.60x = 19,541,383,470.24
  5. Step 5: Solve for x
    x = 19,541,383,470.24/204,098.60
  6. Step 6: Final answer
    x = 95,744.82

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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.