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Finding the Fourth Proportional to 204,959.20, 282,865.44 and 120,147.52

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Solution

The fourth proportional to 204,959.20, 282,865.44 and 120,147.52 is: 165,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,959.20 : 282,865.44 = 120,147.52 : x
  2. Step 2: Convert to fraction form
    204,959.20/282,865.44 = 120,147.52/x
  3. Step 3: Cross multiply
    204,959.20x = 282,865.44 × 120,147.52
  4. Step 4: Simplify right side
    204,959.20x = 33,985,581,109.71
  5. Step 5: Solve for x
    x = 33,985,581,109.71/204,959.20
  6. Step 6: Final answer
    x = 165,816.32

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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.