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Finding the Fourth Proportional to 204,435.69, 282,121.27 and 113,789.70

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Solution

The fourth proportional to 204,435.69, 282,121.27 and 113,789.70 is: 157,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,435.69 : 282,121.27 = 113,789.70 : x
  2. Step 2: Convert to fraction form
    204,435.69/282,121.27 = 113,789.70/x
  3. Step 3: Cross multiply
    204,435.69x = 282,121.27 × 113,789.70
  4. Step 4: Simplify right side
    204,435.69x = 32,102,495,450.40
  5. Step 5: Solve for x
    x = 32,102,495,450.40/204,435.69
  6. Step 6: Final answer
    x = 157,029.80

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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.