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Finding the Fourth Proportional to 123,562.26, 170,534.13 and 78,244.38

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Solution

The fourth proportional to 123,562.26, 170,534.13 and 78,244.38 is: 107,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,562.26 : 170,534.13 = 78,244.38 : x
  2. Step 2: Convert to fraction form
    123,562.26/170,534.13 = 78,244.38/x
  3. Step 3: Cross multiply
    123,562.26x = 170,534.13 × 78,244.38
  4. Step 4: Simplify right side
    123,562.26x = 13,343,337,270.69
  5. Step 5: Solve for x
    x = 13,343,337,270.69/123,562.26
  6. Step 6: Final answer
    x = 107,988.78

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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.