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Finding the Fourth Proportional to 154,694.65, 232,042.17 and 42,375.86

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Solution

The fourth proportional to 154,694.65, 232,042.17 and 42,375.86 is: 63,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,694.65 : 232,042.17 = 42,375.86 : x
  2. Step 2: Convert to fraction form
    154,694.65/232,042.17 = 42,375.86/x
  3. Step 3: Cross multiply
    154,694.65x = 232,042.17 × 42,375.86
  4. Step 4: Simplify right side
    154,694.65x = 9,832,985,508.71
  5. Step 5: Solve for x
    x = 9,832,985,508.71/154,694.65
  6. Step 6: Final answer
    x = 63,563.84

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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.