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Finding the Fourth Proportional to 204,382.44, 282,042 and 113,736.96

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Solution

The fourth proportional to 204,382.44, 282,042 and 113,736.96 is: 156,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,382.44 : 282,042 = 113,736.96 : x
  2. Step 2: Convert to fraction form
    204,382.44/282,042 = 113,736.96/x
  3. Step 3: Cross multiply
    204,382.44x = 282,042 × 113,736.96
  4. Step 4: Simplify right side
    204,382.44x = 32,078,599,672.32
  5. Step 5: Solve for x
    x = 32,078,599,672.32/204,382.44
  6. Step 6: Final answer
    x = 156,953.80

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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.