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Finding the Fourth Proportional to 81,811.20, 122,716.80 and 80,428.80

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Solution

The fourth proportional to 81,811.20, 122,716.80 and 80,428.80 is: 120,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,811.20 : 122,716.80 = 80,428.80 : x
  2. Step 2: Convert to fraction form
    81,811.20/122,716.80 = 80,428.80/x
  3. Step 3: Cross multiply
    81,811.20x = 122,716.80 × 80,428.80
  4. Step 4: Simplify right side
    81,811.20x = 9,869,964,963.84
  5. Step 5: Solve for x
    x = 9,869,964,963.84/81,811.20
  6. Step 6: Final answer
    x = 120,643.20

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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.