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Finding the Fourth Proportional to 204,602.92, 282,351.24 and 113,959.96

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Solution

The fourth proportional to 204,602.92, 282,351.24 and 113,959.96 is: 157,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,602.92 : 282,351.24 = 113,959.96 : x
  2. Step 2: Convert to fraction form
    204,602.92/282,351.24 = 113,959.96/x
  3. Step 3: Cross multiply
    204,602.92x = 282,351.24 × 113,959.96
  4. Step 4: Simplify right side
    204,602.92x = 32,176,736,016.35
  5. Step 5: Solve for x
    x = 32,176,736,016.35/204,602.92
  6. Step 6: Final answer
    x = 157,264.31

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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.