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Finding the Fourth Proportional to 206,371.40, 309,557.16 and 136,234.31

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Solution

The fourth proportional to 206,371.40, 309,557.16 and 136,234.31 is: 204,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,371.40 : 309,557.16 = 136,234.31 : x
  2. Step 2: Convert to fraction form
    206,371.40/309,557.16 = 136,234.31/x
  3. Step 3: Cross multiply
    206,371.40x = 309,557.16 × 136,234.31
  4. Step 4: Simplify right side
    206,371.40x = 42,172,304,550.37
  5. Step 5: Solve for x
    x = 42,172,304,550.37/206,371.40
  6. Step 6: Final answer
    x = 204,351.50

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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.