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Finding the Fourth Proportional to 111,162, 166,692.60 and 47,952.30

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Solution

The fourth proportional to 111,162, 166,692.60 and 47,952.30 is: 71,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,162 : 166,692.60 = 47,952.30 : x
  2. Step 2: Convert to fraction form
    111,162/166,692.60 = 47,952.30/x
  3. Step 3: Cross multiply
    111,162x = 166,692.60 × 47,952.30
  4. Step 4: Simplify right side
    111,162x = 7,993,293,562.98
  5. Step 5: Solve for x
    x = 7,993,293,562.98/111,162
  6. Step 6: Final answer
    x = 71,906.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.