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Finding the Fourth Proportional to 150,604.80, 225,834.24 and 45,404.16

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Solution

The fourth proportional to 150,604.80, 225,834.24 and 45,404.16 is: 68,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,604.80 : 225,834.24 = 45,404.16 : x
  2. Step 2: Convert to fraction form
    150,604.80/225,834.24 = 45,404.16/x
  3. Step 3: Cross multiply
    150,604.80x = 225,834.24 × 45,404.16
  4. Step 4: Simplify right side
    150,604.80x = 10,253,813,966.44
  5. Step 5: Solve for x
    x = 10,253,813,966.44/150,604.80
  6. Step 6: Final answer
    x = 68,084.24

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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.