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Finding the Fourth Proportional to 154,651.44, 231,911.51 and 54,836.76

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Solution

The fourth proportional to 154,651.44, 231,911.51 and 54,836.76 is: 82,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,651.44 : 231,911.51 = 54,836.76 : x
  2. Step 2: Convert to fraction form
    154,651.44/231,911.51 = 54,836.76/x
  3. Step 3: Cross multiply
    154,651.44x = 231,911.51 × 54,836.76
  4. Step 4: Simplify right side
    154,651.44x = 12,717,275,540.92
  5. Step 5: Solve for x
    x = 12,717,275,540.92/154,651.44
  6. Step 6: Final answer
    x = 82,231.86

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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.