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Finding the Fourth Proportional to 149,691.78, 224,490.90 and 49,828.62

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Solution

The fourth proportional to 149,691.78, 224,490.90 and 49,828.62 is: 74,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,691.78 : 224,490.90 = 49,828.62 : x
  2. Step 2: Convert to fraction form
    149,691.78/224,490.90 = 49,828.62/x
  3. Step 3: Cross multiply
    149,691.78x = 224,490.90 × 49,828.62
  4. Step 4: Simplify right side
    149,691.78x = 11,186,071,749.56
  5. Step 5: Solve for x
    x = 11,186,071,749.56/149,691.78
  6. Step 6: Final answer
    x = 74,727.36

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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.