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Finding the Fourth Proportional to 204,542.76, 282,356.10 and 137,513.64

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Solution

The fourth proportional to 204,542.76, 282,356.10 and 137,513.64 is: 189,827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,542.76 : 282,356.10 = 137,513.64 : x
  2. Step 2: Convert to fraction form
    204,542.76/282,356.10 = 137,513.64/x
  3. Step 3: Cross multiply
    204,542.76x = 282,356.10 × 137,513.64
  4. Step 4: Simplify right side
    204,542.76x = 38,827,815,087.20
  5. Step 5: Solve for x
    x = 38,827,815,087.20/204,542.76
  6. Step 6: Final answer
    x = 189,827.37

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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.