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Finding the Fourth Proportional to 204,337.38, 281,960.82 and 113,671.92

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Solution

The fourth proportional to 204,337.38, 281,960.82 and 113,671.92 is: 156,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,337.38 : 281,960.82 = 113,671.92 : x
  2. Step 2: Convert to fraction form
    204,337.38/281,960.82 = 113,671.92/x
  3. Step 3: Cross multiply
    204,337.38x = 281,960.82 × 113,671.92
  4. Step 4: Simplify right side
    204,337.38x = 32,051,027,774.17
  5. Step 5: Solve for x
    x = 32,051,027,774.17/204,337.38
  6. Step 6: Final answer
    x = 156,853.47

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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.