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Finding the Fourth Proportional to 206,857.78, 309,674.31 and 127,717.54

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Solution

The fourth proportional to 206,857.78, 309,674.31 and 127,717.54 is: 191,198.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.78 : 309,674.31 = 127,717.54 : x
  2. Step 2: Convert to fraction form
    206,857.78/309,674.31 = 127,717.54/x
  3. Step 3: Cross multiply
    206,857.78x = 309,674.31 × 127,717.54
  4. Step 4: Simplify right side
    206,857.78x = 39,550,841,074.40
  5. Step 5: Solve for x
    x = 39,550,841,074.40/206,857.78
  6. Step 6: Final answer
    x = 191,198.23

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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.