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Finding the Fourth Proportional to 150,767.80, 225,957.30 and 71,711.80

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Solution

The fourth proportional to 150,767.80, 225,957.30 and 71,711.80 is: 107,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,767.80 : 225,957.30 = 71,711.80 : x
  2. Step 2: Convert to fraction form
    150,767.80/225,957.30 = 71,711.80/x
  3. Step 3: Cross multiply
    150,767.80x = 225,957.30 × 71,711.80
  4. Step 4: Simplify right side
    150,767.80x = 16,203,804,706.14
  5. Step 5: Solve for x
    x = 16,203,804,706.14/150,767.80
  6. Step 6: Final answer
    x = 107,475.23

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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.