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Finding the Fourth Proportional to 149,542.73, 206,363.27 and 82,474.73

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Solution

The fourth proportional to 149,542.73, 206,363.27 and 82,474.73 is: 113,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,542.73 : 206,363.27 = 82,474.73 : x
  2. Step 2: Convert to fraction form
    149,542.73/206,363.27 = 82,474.73/x
  3. Step 3: Cross multiply
    149,542.73x = 206,363.27 × 82,474.73
  4. Step 4: Simplify right side
    149,542.73x = 17,019,754,562.79
  5. Step 5: Solve for x
    x = 17,019,754,562.79/149,542.73
  6. Step 6: Final answer
    x = 113,811.98

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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.