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Finding the Fourth Proportional to 204,061.62, 281,591.40 and 113,411.70

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Solution

The fourth proportional to 204,061.62, 281,591.40 and 113,411.70 is: 156,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,061.62 : 281,591.40 = 113,411.70 : x
  2. Step 2: Convert to fraction form
    204,061.62/281,591.40 = 113,411.70/x
  3. Step 3: Cross multiply
    204,061.62x = 281,591.40 × 113,411.70
  4. Step 4: Simplify right side
    204,061.62x = 31,935,759,379.38
  5. Step 5: Solve for x
    x = 31,935,759,379.38/204,061.62
  6. Step 6: Final answer
    x = 156,500.57

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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.