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Finding the Fourth Proportional to 81,145.20, 121,717.80 and 78,034.80

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Solution

The fourth proportional to 81,145.20, 121,717.80 and 78,034.80 is: 117,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,145.20 : 121,717.80 = 78,034.80 : x
  2. Step 2: Convert to fraction form
    81,145.20/121,717.80 = 78,034.80/x
  3. Step 3: Cross multiply
    81,145.20x = 121,717.80 × 78,034.80
  4. Step 4: Simplify right side
    81,145.20x = 9,498,224,179.44
  5. Step 5: Solve for x
    x = 9,498,224,179.44/81,145.20
  6. Step 6: Final answer
    x = 117,052.20

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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.