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Finding the Fourth Proportional to 81,807.20, 122,883.60 and 78,869.60

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Solution

The fourth proportional to 81,807.20, 122,883.60 and 78,869.60 is: 118,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807.20 : 122,883.60 = 78,869.60 : x
  2. Step 2: Convert to fraction form
    81,807.20/122,883.60 = 78,869.60/x
  3. Step 3: Cross multiply
    81,807.20x = 122,883.60 × 78,869.60
  4. Step 4: Simplify right side
    81,807.20x = 9,691,780,378.56
  5. Step 5: Solve for x
    x = 9,691,780,378.56/81,807.20
  6. Step 6: Final answer
    x = 118,470.99

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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.