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Finding the Fourth Proportional to 204,414.54, 282,101.34 and 113,776.29

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Solution

The fourth proportional to 204,414.54, 282,101.34 and 113,776.29 is: 157,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,414.54 : 282,101.34 = 113,776.29 : x
  2. Step 2: Convert to fraction form
    204,414.54/282,101.34 = 113,776.29/x
  3. Step 3: Cross multiply
    204,414.54x = 282,101.34 × 113,776.29
  4. Step 4: Simplify right side
    204,414.54x = 32,096,443,869.23
  5. Step 5: Solve for x
    x = 32,096,443,869.23/204,414.54
  6. Step 6: Final answer
    x = 157,016.44

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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.