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Finding the Fourth Proportional to 200,198.39, 276,153.71 and 132,215.49

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Solution

The fourth proportional to 200,198.39, 276,153.71 and 132,215.49 is: 182,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,198.39 : 276,153.71 = 132,215.49 : x
  2. Step 2: Convert to fraction form
    200,198.39/276,153.71 = 132,215.49/x
  3. Step 3: Cross multiply
    200,198.39x = 276,153.71 × 132,215.49
  4. Step 4: Simplify right side
    200,198.39x = 36,511,797,421.89
  5. Step 5: Solve for x
    x = 36,511,797,421.89/200,198.39
  6. Step 6: Final answer
    x = 182,378.08

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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.