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Finding the Fourth Proportional to 200,067.64, 276,083.11 and 109,405.98

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Solution

The fourth proportional to 200,067.64, 276,083.11 and 109,405.98 is: 150,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,067.64 : 276,083.11 = 109,405.98 : x
  2. Step 2: Convert to fraction form
    200,067.64/276,083.11 = 109,405.98/x
  3. Step 3: Cross multiply
    200,067.64x = 276,083.11 × 109,405.98
  4. Step 4: Simplify right side
    200,067.64x = 30,205,143,211.00
  5. Step 5: Solve for x
    x = 30,205,143,211.00/200,067.64
  6. Step 6: Final answer
    x = 150,974.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.