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Finding the Fourth Proportional to 135,364.20, 202,922.46 and 52,195.56

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Solution

The fourth proportional to 135,364.20, 202,922.46 and 52,195.56 is: 78,245.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,364.20 : 202,922.46 = 52,195.56 : x
  2. Step 2: Convert to fraction form
    135,364.20/202,922.46 = 52,195.56/x
  3. Step 3: Cross multiply
    135,364.20x = 202,922.46 × 52,195.56
  4. Step 4: Simplify right side
    135,364.20x = 10,591,651,436.28
  5. Step 5: Solve for x
    x = 10,591,651,436.28/135,364.20
  6. Step 6: Final answer
    x = 78,245.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.