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Finding the Fourth Proportional to 225,782.92, 338,010 and 150,716.88

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Solution

The fourth proportional to 225,782.92, 338,010 and 150,716.88 is: 225,631.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,782.92 : 338,010 = 150,716.88 : x
  2. Step 2: Convert to fraction form
    225,782.92/338,010 = 150,716.88/x
  3. Step 3: Cross multiply
    225,782.92x = 338,010 × 150,716.88
  4. Step 4: Simplify right side
    225,782.92x = 50,943,812,608.80
  5. Step 5: Solve for x
    x = 50,943,812,608.80/225,782.92
  6. Step 6: Final answer
    x = 225,631.83

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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.