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Finding the Fourth Proportional to 149,524.49, 206,343.10 and 82,456.49

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Solution

The fourth proportional to 149,524.49, 206,343.10 and 82,456.49 is: 113,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,524.49 : 206,343.10 = 82,456.49 : x
  2. Step 2: Convert to fraction form
    149,524.49/206,343.10 = 82,456.49/x
  3. Step 3: Cross multiply
    149,524.49x = 206,343.10 × 82,456.49
  4. Step 4: Simplify right side
    149,524.49x = 17,014,327,761.72
  5. Step 5: Solve for x
    x = 17,014,327,761.72/149,524.49
  6. Step 6: Final answer
    x = 113,789.57

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Why These Related Problems?

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