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Finding the Fourth Proportional to 149,658.87, 224,531.16 and 49,884.29

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Solution

The fourth proportional to 149,658.87, 224,531.16 and 49,884.29 is: 74,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,658.87 : 224,531.16 = 49,884.29 : x
  2. Step 2: Convert to fraction form
    149,658.87/224,531.16 = 49,884.29/x
  3. Step 3: Cross multiply
    149,658.87x = 224,531.16 × 49,884.29
  4. Step 4: Simplify right side
    149,658.87x = 11,200,577,031.75
  5. Step 5: Solve for x
    x = 11,200,577,031.75/149,658.87
  6. Step 6: Final answer
    x = 74,840.71

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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.