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Finding the Fourth Proportional to 200,082.20, 276,137.26 and 115,215.80

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Solution

The fourth proportional to 200,082.20, 276,137.26 and 115,215.80 is: 159,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,082.20 : 276,137.26 = 115,215.80 : x
  2. Step 2: Convert to fraction form
    200,082.20/276,137.26 = 115,215.80/x
  3. Step 3: Cross multiply
    200,082.20x = 276,137.26 × 115,215.80
  4. Step 4: Simplify right side
    200,082.20x = 31,815,375,320.71
  5. Step 5: Solve for x
    x = 31,815,375,320.71/200,082.20
  6. Step 6: Final answer
    x = 159,011.52

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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.