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Finding the Fourth Proportional to 198,200.34, 297,446.31 and 131,618.34

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Solution

The fourth proportional to 198,200.34, 297,446.31 and 131,618.34 is: 197,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,200.34 : 297,446.31 = 131,618.34 : x
  2. Step 2: Convert to fraction form
    198,200.34/297,446.31 = 131,618.34/x
  3. Step 3: Cross multiply
    198,200.34x = 297,446.31 × 131,618.34
  4. Step 4: Simplify right side
    198,200.34x = 39,149,389,561.33
  5. Step 5: Solve for x
    x = 39,149,389,561.33/198,200.34
  6. Step 6: Final answer
    x = 197,524.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.