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Finding the Fourth Proportional to 204,879.43, 282,734.65 and 114,239.21

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Solution

The fourth proportional to 204,879.43, 282,734.65 and 114,239.21 is: 157,650.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,879.43 : 282,734.65 = 114,239.21 : x
  2. Step 2: Convert to fraction form
    204,879.43/282,734.65 = 114,239.21/x
  3. Step 3: Cross multiply
    204,879.43x = 282,734.65 × 114,239.21
  4. Step 4: Simplify right side
    204,879.43x = 32,299,383,375.13
  5. Step 5: Solve for x
    x = 32,299,383,375.13/204,879.43
  6. Step 6: Final answer
    x = 157,650.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.