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Finding the Fourth Proportional to 224,399.72, 309,650.10 and 123,791.24

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Solution

The fourth proportional to 224,399.72, 309,650.10 and 123,791.24 is: 170,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,399.72 : 309,650.10 = 123,791.24 : x
  2. Step 2: Convert to fraction form
    224,399.72/309,650.10 = 123,791.24/x
  3. Step 3: Cross multiply
    224,399.72x = 309,650.10 × 123,791.24
  4. Step 4: Simplify right side
    224,399.72x = 38,331,969,845.12
  5. Step 5: Solve for x
    x = 38,331,969,845.12/224,399.72
  6. Step 6: Final answer
    x = 170,820.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.