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Finding the Fourth Proportional to 206,498.29, 309,710.48 and 131,395.34

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Solution

The fourth proportional to 206,498.29, 309,710.48 and 131,395.34 is: 197,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498.29 : 309,710.48 = 131,395.34 : x
  2. Step 2: Convert to fraction form
    206,498.29/309,710.48 = 131,395.34/x
  3. Step 3: Cross multiply
    206,498.29x = 309,710.48 × 131,395.34
  4. Step 4: Simplify right side
    206,498.29x = 40,694,514,149.65
  5. Step 5: Solve for x
    x = 40,694,514,149.65/206,498.29
  6. Step 6: Final answer
    x = 197,069.50

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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.