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Finding the Fourth Proportional to 204,329.69, 281,976.36 and 113,689.47

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Solution

The fourth proportional to 204,329.69, 281,976.36 and 113,689.47 is: 156,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,329.69 : 281,976.36 = 113,689.47 : x
  2. Step 2: Convert to fraction form
    204,329.69/281,976.36 = 113,689.47/x
  3. Step 3: Cross multiply
    204,329.69x = 281,976.36 × 113,689.47
  4. Step 4: Simplify right side
    204,329.69x = 32,057,744,511.26
  5. Step 5: Solve for x
    x = 32,057,744,511.26/204,329.69
  6. Step 6: Final answer
    x = 156,892.25

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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.