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Finding the Fourth Proportional to 204,761.60, 282,567.68 and 115,338.24

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Solution

The fourth proportional to 204,761.60, 282,567.68 and 115,338.24 is: 159,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,761.60 : 282,567.68 = 115,338.24 : x
  2. Step 2: Convert to fraction form
    204,761.60/282,567.68 = 115,338.24/x
  3. Step 3: Cross multiply
    204,761.60x = 282,567.68 × 115,338.24
  4. Step 4: Simplify right side
    204,761.60x = 32,590,858,892.08
  5. Step 5: Solve for x
    x = 32,590,858,892.08/204,761.60
  6. Step 6: Final answer
    x = 159,164.90

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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.