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Finding the Fourth Proportional to 135,906.50, 203,843.92 and 36,074.46

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Solution

The fourth proportional to 135,906.50, 203,843.92 and 36,074.46 is: 54,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,906.50 : 203,843.92 = 36,074.46 : x
  2. Step 2: Convert to fraction form
    135,906.50/203,843.92 = 36,074.46/x
  3. Step 3: Cross multiply
    135,906.50x = 203,843.92 × 36,074.46
  4. Step 4: Simplify right side
    135,906.50x = 7,353,558,138.69
  5. Step 5: Solve for x
    x = 7,353,558,138.69/135,906.50
  6. Step 6: Final answer
    x = 54,107.48

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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.