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Finding the Fourth Proportional to 206,472.10, 309,631.35 and 81,787.30

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Solution

The fourth proportional to 206,472.10, 309,631.35 and 81,787.30 is: 122,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,472.10 : 309,631.35 = 81,787.30 : x
  2. Step 2: Convert to fraction form
    206,472.10/309,631.35 = 81,787.30/x
  3. Step 3: Cross multiply
    206,472.10x = 309,631.35 × 81,787.30
  4. Step 4: Simplify right side
    206,472.10x = 25,323,912,111.86
  5. Step 5: Solve for x
    x = 25,323,912,111.86/206,472.10
  6. Step 6: Final answer
    x = 122,650.53

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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.