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Finding the Fourth Proportional to 149,524.74, 206,343.45 and 82,456.74

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Solution

The fourth proportional to 149,524.74, 206,343.45 and 82,456.74 is: 113,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,524.74 : 206,343.45 = 82,456.74 : x
  2. Step 2: Convert to fraction form
    149,524.74/206,343.45 = 82,456.74/x
  3. Step 3: Cross multiply
    149,524.74x = 206,343.45 × 82,456.74
  4. Step 4: Simplify right side
    149,524.74x = 17,014,408,207.35
  5. Step 5: Solve for x
    x = 17,014,408,207.35/149,524.74
  6. Step 6: Final answer
    x = 113,789.92

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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.