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Finding the Fourth Proportional to 149,449.92, 224,174.46 and 49,617.69

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Solution

The fourth proportional to 149,449.92, 224,174.46 and 49,617.69 is: 74,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,449.92 : 224,174.46 = 49,617.69 : x
  2. Step 2: Convert to fraction form
    149,449.92/224,174.46 = 49,617.69/x
  3. Step 3: Cross multiply
    149,449.92x = 224,174.46 × 49,617.69
  4. Step 4: Simplify right side
    149,449.92x = 11,123,018,862.20
  5. Step 5: Solve for x
    x = 11,123,018,862.20/149,449.92
  6. Step 6: Final answer
    x = 74,426.40

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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.