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Finding the Fourth Proportional to 150,353.87, 225,494.28 and 50,488.16

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Solution

The fourth proportional to 150,353.87, 225,494.28 and 50,488.16 is: 75,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,353.87 : 225,494.28 = 50,488.16 : x
  2. Step 2: Convert to fraction form
    150,353.87/225,494.28 = 50,488.16/x
  3. Step 3: Cross multiply
    150,353.87x = 225,494.28 × 50,488.16
  4. Step 4: Simplify right side
    150,353.87x = 11,384,790,160.25
  5. Step 5: Solve for x
    x = 11,384,790,160.25/150,353.87
  6. Step 6: Final answer
    x = 75,719.97

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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.