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Finding the Fourth Proportional to 150,132, 225,198 and 56,615.88

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Solution

The fourth proportional to 150,132, 225,198 and 56,615.88 is: 84,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,132 : 225,198 = 56,615.88 : x
  2. Step 2: Convert to fraction form
    150,132/225,198 = 56,615.88/x
  3. Step 3: Cross multiply
    150,132x = 225,198 × 56,615.88
  4. Step 4: Simplify right side
    150,132x = 12,749,782,944.24
  5. Step 5: Solve for x
    x = 12,749,782,944.24/150,132
  6. Step 6: Final answer
    x = 84,923.82

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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.