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Finding the Fourth Proportional to 198,652.42, 297,972.02 and 86,332.74

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Solution

The fourth proportional to 198,652.42, 297,972.02 and 86,332.74 is: 129,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,652.42 : 297,972.02 = 86,332.74 : x
  2. Step 2: Convert to fraction form
    198,652.42/297,972.02 = 86,332.74/x
  3. Step 3: Cross multiply
    198,652.42x = 297,972.02 × 86,332.74
  4. Step 4: Simplify right side
    198,652.42x = 25,724,739,542.75
  5. Step 5: Solve for x
    x = 25,724,739,542.75/198,652.42
  6. Step 6: Final answer
    x = 129,496.23

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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.