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Finding the Fourth Proportional to 150,600.75, 225,855.05 and 50,734.16

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Solution

The fourth proportional to 150,600.75, 225,855.05 and 50,734.16 is: 76,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,600.75 : 225,855.05 = 50,734.16 : x
  2. Step 2: Convert to fraction form
    150,600.75/225,855.05 = 50,734.16/x
  3. Step 3: Cross multiply
    150,600.75x = 225,855.05 × 50,734.16
  4. Step 4: Simplify right side
    150,600.75x = 11,458,564,860.56
  5. Step 5: Solve for x
    x = 11,458,564,860.56/150,600.75
  6. Step 6: Final answer
    x = 76,085.71

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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.