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Finding the Fourth Proportional to 150,649.47, 225,975.96 and 45,472.86

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Solution

The fourth proportional to 150,649.47, 225,975.96 and 45,472.86 is: 68,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,649.47 : 225,975.96 = 45,472.86 : x
  2. Step 2: Convert to fraction form
    150,649.47/225,975.96 = 45,472.86/x
  3. Step 3: Cross multiply
    150,649.47x = 225,975.96 × 45,472.86
  4. Step 4: Simplify right side
    150,649.47x = 10,275,773,192.45
  5. Step 5: Solve for x
    x = 10,275,773,192.45/150,649.47
  6. Step 6: Final answer
    x = 68,209.82

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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.