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Finding the Fourth Proportional to 80,220.57, 119,843.31 and 51,909.99

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Solution

The fourth proportional to 80,220.57, 119,843.31 and 51,909.99 is: 77,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,220.57 : 119,843.31 = 51,909.99 : x
  2. Step 2: Convert to fraction form
    80,220.57/119,843.31 = 51,909.99/x
  3. Step 3: Cross multiply
    80,220.57x = 119,843.31 × 51,909.99
  4. Step 4: Simplify right side
    80,220.57x = 6,221,065,023.67
  5. Step 5: Solve for x
    x = 6,221,065,023.67/80,220.57
  6. Step 6: Final answer
    x = 77,549.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.