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Finding the Fourth Proportional to 204,257.50, 306,394.49 and 71,151.22

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Solution

The fourth proportional to 204,257.50, 306,394.49 and 71,151.22 is: 106,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,257.50 : 306,394.49 = 71,151.22 : x
  2. Step 2: Convert to fraction form
    204,257.50/306,394.49 = 71,151.22/x
  3. Step 3: Cross multiply
    204,257.50x = 306,394.49 × 71,151.22
  4. Step 4: Simplify right side
    204,257.50x = 21,800,341,764.78
  5. Step 5: Solve for x
    x = 21,800,341,764.78/204,257.50
  6. Step 6: Final answer
    x = 106,729.70

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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.