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Finding the Fourth Proportional to 133,593, 200,402.78 and 49,375.24

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Solution

The fourth proportional to 133,593, 200,402.78 and 49,375.24 is: 74,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,593 : 200,402.78 = 49,375.24 : x
  2. Step 2: Convert to fraction form
    133,593/200,402.78 = 49,375.24/x
  3. Step 3: Cross multiply
    133,593x = 200,402.78 × 49,375.24
  4. Step 4: Simplify right side
    133,593x = 9,894,935,359.17
  5. Step 5: Solve for x
    x = 9,894,935,359.17/133,593
  6. Step 6: Final answer
    x = 74,067.77

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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.