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Finding the Fourth Proportional to 154,575.20, 231,862.80 and 75,843.20

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Solution

The fourth proportional to 154,575.20, 231,862.80 and 75,843.20 is: 113,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,575.20 : 231,862.80 = 75,843.20 : x
  2. Step 2: Convert to fraction form
    154,575.20/231,862.80 = 75,843.20/x
  3. Step 3: Cross multiply
    154,575.20x = 231,862.80 × 75,843.20
  4. Step 4: Simplify right side
    154,575.20x = 17,585,216,712.96
  5. Step 5: Solve for x
    x = 17,585,216,712.96/154,575.20
  6. Step 6: Final answer
    x = 113,764.80

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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.