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Finding the Fourth Proportional to 217,549.92, 326,177.22 and 110,671.20

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Solution

The fourth proportional to 217,549.92, 326,177.22 and 110,671.20 is: 165,931.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,549.92 : 326,177.22 = 110,671.20 : x
  2. Step 2: Convert to fraction form
    217,549.92/326,177.22 = 110,671.20/x
  3. Step 3: Cross multiply
    217,549.92x = 326,177.22 × 110,671.20
  4. Step 4: Simplify right side
    217,549.92x = 36,098,424,350.06
  5. Step 5: Solve for x
    x = 36,098,424,350.06/217,549.92
  6. Step 6: Final answer
    x = 165,931.68

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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.