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Finding the Fourth Proportional to 224,542.60, 309,868.42 and 123,940.52

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Solution

The fourth proportional to 224,542.60, 309,868.42 and 123,940.52 is: 171,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,542.60 : 309,868.42 = 123,940.52 : x
  2. Step 2: Convert to fraction form
    224,542.60/309,868.42 = 123,940.52/x
  3. Step 3: Cross multiply
    224,542.60x = 309,868.42 × 123,940.52
  4. Step 4: Simplify right side
    224,542.60x = 38,405,253,106.38
  5. Step 5: Solve for x
    x = 38,405,253,106.38/224,542.60
  6. Step 6: Final answer
    x = 171,037.71

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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.