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Finding the Fourth Proportional to 442,885.20, 664,198.20 and 158,542.80

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Solution

The fourth proportional to 442,885.20, 664,198.20 and 158,542.80 is: 237,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,885.20 : 664,198.20 = 158,542.80 : x
  2. Step 2: Convert to fraction form
    442,885.20/664,198.20 = 158,542.80/x
  3. Step 3: Cross multiply
    442,885.20x = 664,198.20 × 158,542.80
  4. Step 4: Simplify right side
    442,885.20x = 105,303,842,382.96
  5. Step 5: Solve for x
    x = 105,303,842,382.96/442,885.20
  6. Step 6: Final answer
    x = 237,767.81

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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.