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Finding the Fourth Proportional to 217,993.44, 327,073.20 and 75,854.52

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Solution

The fourth proportional to 217,993.44, 327,073.20 and 75,854.52 is: 113,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,993.44 : 327,073.20 = 75,854.52 : x
  2. Step 2: Convert to fraction form
    217,993.44/327,073.20 = 75,854.52/x
  3. Step 3: Cross multiply
    217,993.44x = 327,073.20 × 75,854.52
  4. Step 4: Simplify right side
    217,993.44x = 24,809,980,590.86
  5. Step 5: Solve for x
    x = 24,809,980,590.86/217,993.44
  6. Step 6: Final answer
    x = 113,810.68

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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.