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Finding the Fourth Proportional to 150,677.80, 225,872.70 and 55,882.60

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Solution

The fourth proportional to 150,677.80, 225,872.70 and 55,882.60 is: 83,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,677.80 : 225,872.70 = 55,882.60 : x
  2. Step 2: Convert to fraction form
    150,677.80/225,872.70 = 55,882.60/x
  3. Step 3: Cross multiply
    150,677.80x = 225,872.70 × 55,882.60
  4. Step 4: Simplify right side
    150,677.80x = 12,622,353,745.02
  5. Step 5: Solve for x
    x = 12,622,353,745.02/150,677.80
  6. Step 6: Final answer
    x = 83,770.49

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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.