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Finding the Fourth Proportional to 206,029.40, 309,044.10 and 159,315.80

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Solution

The fourth proportional to 206,029.40, 309,044.10 and 159,315.80 is: 238,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,029.40 : 309,044.10 = 159,315.80 : x
  2. Step 2: Convert to fraction form
    206,029.40/309,044.10 = 159,315.80/x
  3. Step 3: Cross multiply
    206,029.40x = 309,044.10 × 159,315.80
  4. Step 4: Simplify right side
    206,029.40x = 49,235,608,026.78
  5. Step 5: Solve for x
    x = 49,235,608,026.78/206,029.40
  6. Step 6: Final answer
    x = 238,973.70

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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.