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Finding the Fourth Proportional to 204,532.65, 282,249.28 and 111,396.27

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Solution

The fourth proportional to 204,532.65, 282,249.28 and 111,396.27 is: 153,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,532.65 : 282,249.28 = 111,396.27 : x
  2. Step 2: Convert to fraction form
    204,532.65/282,249.28 = 111,396.27/x
  3. Step 3: Cross multiply
    204,532.65x = 282,249.28 × 111,396.27
  4. Step 4: Simplify right side
    204,532.65x = 31,441,516,198.75
  5. Step 5: Solve for x
    x = 31,441,516,198.75/204,532.65
  6. Step 6: Final answer
    x = 153,723.70

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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.