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Finding the Fourth Proportional to 198,350, 297,524.39 and 71,990.08

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Solution

The fourth proportional to 198,350, 297,524.39 and 71,990.08 is: 107,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,350 : 297,524.39 = 71,990.08 : x
  2. Step 2: Convert to fraction form
    198,350/297,524.39 = 71,990.08/x
  3. Step 3: Cross multiply
    198,350x = 297,524.39 × 71,990.08
  4. Step 4: Simplify right side
    198,350x = 21,418,803,150.43
  5. Step 5: Solve for x
    x = 21,418,803,150.43/198,350
  6. Step 6: Final answer
    x = 107,984.89

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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.