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Finding the Fourth Proportional to 150,354, 225,546.12 and 55,609.20

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Solution

The fourth proportional to 150,354, 225,546.12 and 55,609.20 is: 83,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,354 : 225,546.12 = 55,609.20 : x
  2. Step 2: Convert to fraction form
    150,354/225,546.12 = 55,609.20/x
  3. Step 3: Cross multiply
    150,354x = 225,546.12 × 55,609.20
  4. Step 4: Simplify right side
    150,354x = 12,542,439,296.30
  5. Step 5: Solve for x
    x = 12,542,439,296.30/150,354
  6. Step 6: Final answer
    x = 83,419.39

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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.