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Finding the Fourth Proportional to 185,584.76, 278,377.03 and 67,255.91

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Solution

The fourth proportional to 185,584.76, 278,377.03 and 67,255.91 is: 100,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,584.76 : 278,377.03 = 67,255.91 : x
  2. Step 2: Convert to fraction form
    185,584.76/278,377.03 = 67,255.91/x
  3. Step 3: Cross multiply
    185,584.76x = 278,377.03 × 67,255.91
  4. Step 4: Simplify right side
    185,584.76x = 18,722,500,475.75
  5. Step 5: Solve for x
    x = 18,722,500,475.75/185,584.76
  6. Step 6: Final answer
    x = 100,883.83

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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.