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Finding the Fourth Proportional to 83,957.40, 125,936.10 and 83,179.80

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Solution

The fourth proportional to 83,957.40, 125,936.10 and 83,179.80 is: 124,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,957.40 : 125,936.10 = 83,179.80 : x
  2. Step 2: Convert to fraction form
    83,957.40/125,936.10 = 83,179.80/x
  3. Step 3: Cross multiply
    83,957.40x = 125,936.10 × 83,179.80
  4. Step 4: Simplify right side
    83,957.40x = 10,475,339,610.78
  5. Step 5: Solve for x
    x = 10,475,339,610.78/83,957.40
  6. Step 6: Final answer
    x = 124,769.70

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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.