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Finding the Fourth Proportional to 185,583.76, 278,375.54 and 67,254.91

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Solution

The fourth proportional to 185,583.76, 278,375.54 and 67,254.91 is: 100,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,583.76 : 278,375.54 = 67,254.91 : x
  2. Step 2: Convert to fraction form
    185,583.76/278,375.54 = 67,254.91/x
  3. Step 3: Cross multiply
    185,583.76x = 278,375.54 × 67,254.91
  4. Step 4: Simplify right side
    185,583.76x = 18,722,120,856.69
  5. Step 5: Solve for x
    x = 18,722,120,856.69/185,583.76
  6. Step 6: Final answer
    x = 100,882.32

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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.