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Finding the Fourth Proportional to 150,524.82, 225,743.49 and 98,211.78

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Solution

The fourth proportional to 150,524.82, 225,743.49 and 98,211.78 is: 147,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,524.82 : 225,743.49 = 98,211.78 : x
  2. Step 2: Convert to fraction form
    150,524.82/225,743.49 = 98,211.78/x
  3. Step 3: Cross multiply
    150,524.82x = 225,743.49 × 98,211.78
  4. Step 4: Simplify right side
    150,524.82x = 22,170,669,976.31
  5. Step 5: Solve for x
    x = 22,170,669,976.31/150,524.82
  6. Step 6: Final answer
    x = 147,289.13

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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.