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Finding the Fourth Proportional to 133,757.62, 200,495.02 and 49,463.70

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Solution

The fourth proportional to 133,757.62, 200,495.02 and 49,463.70 is: 74,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,757.62 : 200,495.02 = 49,463.70 : x
  2. Step 2: Convert to fraction form
    133,757.62/200,495.02 = 49,463.70/x
  3. Step 3: Cross multiply
    133,757.62x = 200,495.02 × 49,463.70
  4. Step 4: Simplify right side
    133,757.62x = 9,917,225,520.77
  5. Step 5: Solve for x
    x = 9,917,225,520.77/133,757.62
  6. Step 6: Final answer
    x = 74,143.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.