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Finding the Fourth Proportional to 107,198.28, 147,942.71 and 59,467

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Solution

The fourth proportional to 107,198.28, 147,942.71 and 59,467 is: 82,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,198.28 : 147,942.71 = 59,467 : x
  2. Step 2: Convert to fraction form
    107,198.28/147,942.71 = 59,467/x
  3. Step 3: Cross multiply
    107,198.28x = 147,942.71 × 59,467
  4. Step 4: Simplify right side
    107,198.28x = 8,797,709,135.57
  5. Step 5: Solve for x
    x = 8,797,709,135.57/107,198.28
  6. Step 6: Final answer
    x = 82,069.50

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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.