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Finding the Fourth Proportional to 204,446.12, 306,572.16 and 71,310.20

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Solution

The fourth proportional to 204,446.12, 306,572.16 and 71,310.20 is: 106,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,446.12 : 306,572.16 = 71,310.20 : x
  2. Step 2: Convert to fraction form
    204,446.12/306,572.16 = 71,310.20/x
  3. Step 3: Cross multiply
    204,446.12x = 306,572.16 × 71,310.20
  4. Step 4: Simplify right side
    204,446.12x = 21,861,722,044.03
  5. Step 5: Solve for x
    x = 21,861,722,044.03/204,446.12
  6. Step 6: Final answer
    x = 106,931.46

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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.