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Finding the Fourth Proportional to 123,839.76, 170,951.18 and 83,608.01

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Solution

The fourth proportional to 123,839.76, 170,951.18 and 83,608.01 is: 115,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,839.76 : 170,951.18 = 83,608.01 : x
  2. Step 2: Convert to fraction form
    123,839.76/170,951.18 = 83,608.01/x
  3. Step 3: Cross multiply
    123,839.76x = 170,951.18 × 83,608.01
  4. Step 4: Simplify right side
    123,839.76x = 14,292,887,966.95
  5. Step 5: Solve for x
    x = 14,292,887,966.95/123,839.76
  6. Step 6: Final answer
    x = 115,414.38

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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.