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Finding the Fourth Proportional to 382,158.92, 573,290.22 and 132,808.52

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Solution

The fourth proportional to 382,158.92, 573,290.22 and 132,808.52 is: 199,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,158.92 : 573,290.22 = 132,808.52 : x
  2. Step 2: Convert to fraction form
    382,158.92/573,290.22 = 132,808.52/x
  3. Step 3: Cross multiply
    382,158.92x = 573,290.22 × 132,808.52
  4. Step 4: Simplify right side
    382,158.92x = 76,137,825,648.67
  5. Step 5: Solve for x
    x = 76,137,825,648.67/382,158.92
  6. Step 6: Final answer
    x = 199,230.80

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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.