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Finding the Fourth Proportional to 150,371.94, 225,608.25 and 49,174.65

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Solution

The fourth proportional to 150,371.94, 225,608.25 and 49,174.65 is: 73,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,371.94 : 225,608.25 = 49,174.65 : x
  2. Step 2: Convert to fraction form
    150,371.94/225,608.25 = 49,174.65/x
  3. Step 3: Cross multiply
    150,371.94x = 225,608.25 × 49,174.65
  4. Step 4: Simplify right side
    150,371.94x = 11,094,206,730.86
  5. Step 5: Solve for x
    x = 11,094,206,730.86/150,371.94
  6. Step 6: Final answer
    x = 73,778.44

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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.