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Finding the Fourth Proportional to 206,856.78, 309,672.81 and 127,716.54

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Solution

The fourth proportional to 206,856.78, 309,672.81 and 127,716.54 is: 191,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,856.78 : 309,672.81 = 127,716.54 : x
  2. Step 2: Convert to fraction form
    206,856.78/309,672.81 = 127,716.54/x
  3. Step 3: Cross multiply
    206,856.78x = 309,672.81 × 127,716.54
  4. Step 4: Simplify right side
    206,856.78x = 39,550,339,825.28
  5. Step 5: Solve for x
    x = 39,550,339,825.28/206,856.78
  6. Step 6: Final answer
    x = 191,196.73

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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.