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Finding the Fourth Proportional to 204,657.40, 282,282.78 and 119,791.36

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Solution

The fourth proportional to 204,657.40, 282,282.78 and 119,791.36 is: 165,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,657.40 : 282,282.78 = 119,791.36 : x
  2. Step 2: Convert to fraction form
    204,657.40/282,282.78 = 119,791.36/x
  3. Step 3: Cross multiply
    204,657.40x = 282,282.78 × 119,791.36
  4. Step 4: Simplify right side
    204,657.40x = 33,815,038,120.78
  5. Step 5: Solve for x
    x = 33,815,038,120.78/204,657.40
  6. Step 6: Final answer
    x = 165,227.54

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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.