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Finding the Fourth Proportional to 149,279.76, 206,015.44 and 82,211.76

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Solution

The fourth proportional to 149,279.76, 206,015.44 and 82,211.76 is: 113,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,279.76 : 206,015.44 = 82,211.76 : x
  2. Step 2: Convert to fraction form
    149,279.76/206,015.44 = 82,211.76/x
  3. Step 3: Cross multiply
    149,279.76x = 206,015.44 × 82,211.76
  4. Step 4: Simplify right side
    149,279.76x = 16,936,891,909.57
  5. Step 5: Solve for x
    x = 16,936,891,909.57/149,279.76
  6. Step 6: Final answer
    x = 113,457.39

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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.