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Finding the Fourth Proportional to 200,021.26, 300,031.80 and 80,132.62

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Solution

The fourth proportional to 200,021.26, 300,031.80 and 80,132.62 is: 120,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,021.26 : 300,031.80 = 80,132.62 : x
  2. Step 2: Convert to fraction form
    200,021.26/300,031.80 = 80,132.62/x
  3. Step 3: Cross multiply
    200,021.26x = 300,031.80 × 80,132.62
  4. Step 4: Simplify right side
    200,021.26x = 24,042,334,217.32
  5. Step 5: Solve for x
    x = 24,042,334,217.32/200,021.26
  6. Step 6: Final answer
    x = 120,198.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.