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Finding the Fourth Proportional to 200,205.44, 276,163.46 and 132,222.56

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Solution

The fourth proportional to 200,205.44, 276,163.46 and 132,222.56 is: 182,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,205.44 : 276,163.46 = 132,222.56 : x
  2. Step 2: Convert to fraction form
    200,205.44/276,163.46 = 132,222.56/x
  3. Step 3: Cross multiply
    200,205.44x = 276,163.46 × 132,222.56
  4. Step 4: Simplify right side
    200,205.44x = 36,515,039,659.66
  5. Step 5: Solve for x
    x = 36,515,039,659.66/200,205.44
  6. Step 6: Final answer
    x = 182,387.85

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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.