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Finding the Fourth Proportional to 217,399.20, 326,098.80 and 92,983.20

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Solution

The fourth proportional to 217,399.20, 326,098.80 and 92,983.20 is: 139,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,399.20 : 326,098.80 = 92,983.20 : x
  2. Step 2: Convert to fraction form
    217,399.20/326,098.80 = 92,983.20/x
  3. Step 3: Cross multiply
    217,399.20x = 326,098.80 × 92,983.20
  4. Step 4: Simplify right side
    217,399.20x = 30,321,709,940.16
  5. Step 5: Solve for x
    x = 30,321,709,940.16/217,399.20
  6. Step 6: Final answer
    x = 139,474.80

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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.