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Finding the Fourth Proportional to 153,963.60, 231,022.20 and 87,454.80

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Solution

The fourth proportional to 153,963.60, 231,022.20 and 87,454.80 is: 131,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,963.60 : 231,022.20 = 87,454.80 : x
  2. Step 2: Convert to fraction form
    153,963.60/231,022.20 = 87,454.80/x
  3. Step 3: Cross multiply
    153,963.60x = 231,022.20 × 87,454.80
  4. Step 4: Simplify right side
    153,963.60x = 20,204,000,296.56
  5. Step 5: Solve for x
    x = 20,204,000,296.56/153,963.60
  6. Step 6: Final answer
    x = 131,225.82

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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.