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Finding the Fourth Proportional to 150,434.64, 225,593.64 and 80,275.68

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Solution

The fourth proportional to 150,434.64, 225,593.64 and 80,275.68 is: 120,382.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,434.64 : 225,593.64 = 80,275.68 : x
  2. Step 2: Convert to fraction form
    150,434.64/225,593.64 = 80,275.68/x
  3. Step 3: Cross multiply
    150,434.64x = 225,593.64 × 80,275.68
  4. Step 4: Simplify right side
    150,434.64x = 18,109,682,854.68
  5. Step 5: Solve for x
    x = 18,109,682,854.68/150,434.64
  6. Step 6: Final answer
    x = 120,382.40

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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.