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Finding the Fourth Proportional to 150,649.40, 225,974.10 and 142,484.60

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Solution

The fourth proportional to 150,649.40, 225,974.10 and 142,484.60 is: 213,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,649.40 : 225,974.10 = 142,484.60 : x
  2. Step 2: Convert to fraction form
    150,649.40/225,974.10 = 142,484.60/x
  3. Step 3: Cross multiply
    150,649.40x = 225,974.10 × 142,484.60
  4. Step 4: Simplify right side
    150,649.40x = 32,197,829,248.86
  5. Step 5: Solve for x
    x = 32,197,829,248.86/150,649.40
  6. Step 6: Final answer
    x = 213,726.90

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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.