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Finding the Fourth Proportional to 198,188.87, 297,171.84 and 65,057.97

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Solution

The fourth proportional to 198,188.87, 297,171.84 and 65,057.97 is: 97,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,188.87 : 297,171.84 = 65,057.97 : x
  2. Step 2: Convert to fraction form
    198,188.87/297,171.84 = 65,057.97/x
  3. Step 3: Cross multiply
    198,188.87x = 297,171.84 × 65,057.97
  4. Step 4: Simplify right side
    198,188.87x = 19,333,396,651.56
  5. Step 5: Solve for x
    x = 19,333,396,651.56/198,188.87
  6. Step 6: Final answer
    x = 97,550.37

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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.