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Finding the Fourth Proportional to 81,984.80, 122,977.20 and 67,404.80

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Solution

The fourth proportional to 81,984.80, 122,977.20 and 67,404.80 is: 101,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,984.80 : 122,977.20 = 67,404.80 : x
  2. Step 2: Convert to fraction form
    81,984.80/122,977.20 = 67,404.80/x
  3. Step 3: Cross multiply
    81,984.80x = 122,977.20 × 67,404.80
  4. Step 4: Simplify right side
    81,984.80x = 8,289,253,570.56
  5. Step 5: Solve for x
    x = 8,289,253,570.56/81,984.80
  6. Step 6: Final answer
    x = 101,107.20

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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.