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Finding the Fourth Proportional to 198,805.20, 274,306.14 and 145,119.48

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Solution

The fourth proportional to 198,805.20, 274,306.14 and 145,119.48 is: 200,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,805.20 : 274,306.14 = 145,119.48 : x
  2. Step 2: Convert to fraction form
    198,805.20/274,306.14 = 145,119.48/x
  3. Step 3: Cross multiply
    198,805.20x = 274,306.14 × 145,119.48
  4. Step 4: Simplify right side
    198,805.20x = 39,807,164,397.61
  5. Step 5: Solve for x
    x = 39,807,164,397.61/198,805.20
  6. Step 6: Final answer
    x = 200,232.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.