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Finding the Fourth Proportional to 185,856.98, 278,874.72 and 101,613.74

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Solution

The fourth proportional to 185,856.98, 278,874.72 and 101,613.74 is: 152,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,856.98 : 278,874.72 = 101,613.74 : x
  2. Step 2: Convert to fraction form
    185,856.98/278,874.72 = 101,613.74/x
  3. Step 3: Cross multiply
    185,856.98x = 278,874.72 × 101,613.74
  4. Step 4: Simplify right side
    185,856.98x = 28,337,503,290.65
  5. Step 5: Solve for x
    x = 28,337,503,290.65/185,856.98
  6. Step 6: Final answer
    x = 152,469.41

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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.