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Finding the Fourth Proportional to 80,772.80, 121,159.20 and 51,321.20

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Solution

The fourth proportional to 80,772.80, 121,159.20 and 51,321.20 is: 76,981.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,772.80 : 121,159.20 = 51,321.20 : x
  2. Step 2: Convert to fraction form
    80,772.80/121,159.20 = 51,321.20/x
  3. Step 3: Cross multiply
    80,772.80x = 121,159.20 × 51,321.20
  4. Step 4: Simplify right side
    80,772.80x = 6,218,035,535.04
  5. Step 5: Solve for x
    x = 6,218,035,535.04/80,772.80
  6. Step 6: Final answer
    x = 76,981.80

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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.