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Finding the Fourth Proportional to 81,982.80, 122,974.20 and 67,402.80

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Solution

The fourth proportional to 81,982.80, 122,974.20 and 67,402.80 is: 101,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,982.80 : 122,974.20 = 67,402.80 : x
  2. Step 2: Convert to fraction form
    81,982.80/122,974.20 = 67,402.80/x
  3. Step 3: Cross multiply
    81,982.80x = 122,974.20 × 67,402.80
  4. Step 4: Simplify right side
    81,982.80x = 8,288,805,407.76
  5. Step 5: Solve for x
    x = 8,288,805,407.76/81,982.80
  6. Step 6: Final answer
    x = 101,104.20

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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.