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Finding the Fourth Proportional to 150,493.98, 225,759.66 and 49,257.30

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Solution

The fourth proportional to 150,493.98, 225,759.66 and 49,257.30 is: 73,892.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,493.98 : 225,759.66 = 49,257.30 : x
  2. Step 2: Convert to fraction form
    150,493.98/225,759.66 = 49,257.30/x
  3. Step 3: Cross multiply
    150,493.98x = 225,759.66 × 49,257.30
  4. Step 4: Simplify right side
    150,493.98x = 11,120,311,300.52
  5. Step 5: Solve for x
    x = 11,120,311,300.52/150,493.98
  6. Step 6: Final answer
    x = 73,892.07

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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.