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Finding the Fourth Proportional to 150,546.40, 225,943.83 and 75,687.82

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Solution

The fourth proportional to 150,546.40, 225,943.83 and 75,687.82 is: 113,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,546.40 : 225,943.83 = 75,687.82 : x
  2. Step 2: Convert to fraction form
    150,546.40/225,943.83 = 75,687.82/x
  3. Step 3: Cross multiply
    150,546.40x = 225,943.83 × 75,687.82
  4. Step 4: Simplify right side
    150,546.40x = 17,101,195,370.29
  5. Step 5: Solve for x
    x = 17,101,195,370.29/150,546.40
  6. Step 6: Final answer
    x = 113,594.19

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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.