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Finding the Fourth Proportional to 343,265.20, 514,744.20 and 132,833.20

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Solution

The fourth proportional to 343,265.20, 514,744.20 and 132,833.20 is: 199,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,265.20 : 514,744.20 = 132,833.20 : x
  2. Step 2: Convert to fraction form
    343,265.20/514,744.20 = 132,833.20/x
  3. Step 3: Cross multiply
    343,265.20x = 514,744.20 × 132,833.20
  4. Step 4: Simplify right side
    343,265.20x = 68,375,119,267.44
  5. Step 5: Solve for x
    x = 68,375,119,267.44/343,265.20
  6. Step 6: Final answer
    x = 199,190.36

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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.