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Finding the Fourth Proportional to 217,002.60, 325,115.10 and 185,898.60

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Solution

The fourth proportional to 217,002.60, 325,115.10 and 185,898.60 is: 278,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,002.60 : 325,115.10 = 185,898.60 : x
  2. Step 2: Convert to fraction form
    217,002.60/325,115.10 = 185,898.60/x
  3. Step 3: Cross multiply
    217,002.60x = 325,115.10 × 185,898.60
  4. Step 4: Simplify right side
    217,002.60x = 60,438,441,928.86
  5. Step 5: Solve for x
    x = 60,438,441,928.86/217,002.60
  6. Step 6: Final answer
    x = 278,514.83

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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.