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Finding the Fourth Proportional to 200,198.62, 276,023.19 and 128,452.06

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Solution

The fourth proportional to 200,198.62, 276,023.19 and 128,452.06 is: 177,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,198.62 : 276,023.19 = 128,452.06 : x
  2. Step 2: Convert to fraction form
    200,198.62/276,023.19 = 128,452.06/x
  3. Step 3: Cross multiply
    200,198.62x = 276,023.19 × 128,452.06
  4. Step 4: Simplify right side
    200,198.62x = 35,455,747,363.27
  5. Step 5: Solve for x
    x = 35,455,747,363.27/200,198.62
  6. Step 6: Final answer
    x = 177,102.86

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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.