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Finding the Fourth Proportional to 204,337.38, 281,986.98 and 113,697.17

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Solution

The fourth proportional to 204,337.38, 281,986.98 and 113,697.17 is: 156,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,337.38 : 281,986.98 = 113,697.17 : x
  2. Step 2: Convert to fraction form
    204,337.38/281,986.98 = 113,697.17/x
  3. Step 3: Cross multiply
    204,337.38x = 281,986.98 × 113,697.17
  4. Step 4: Simplify right side
    204,337.38x = 32,061,120,192.91
  5. Step 5: Solve for x
    x = 32,061,120,192.91/204,337.38
  6. Step 6: Final answer
    x = 156,902.86

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Why These Related Problems?

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