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Finding the Fourth Proportional to 133,499.44, 200,229.72 and 50,374

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Solution

The fourth proportional to 133,499.44, 200,229.72 and 50,374 is: 75,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,499.44 : 200,229.72 = 50,374 : x
  2. Step 2: Convert to fraction form
    133,499.44/200,229.72 = 50,374/x
  3. Step 3: Cross multiply
    133,499.44x = 200,229.72 × 50,374
  4. Step 4: Simplify right side
    133,499.44x = 10,086,371,915.28
  5. Step 5: Solve for x
    x = 10,086,371,915.28/133,499.44
  6. Step 6: Final answer
    x = 75,553.66

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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.