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Finding the Fourth Proportional to 120,478.38, 166,257.42 and 69,491.22

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Solution

The fourth proportional to 120,478.38, 166,257.42 and 69,491.22 is: 95,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,478.38 : 166,257.42 = 69,491.22 : x
  2. Step 2: Convert to fraction form
    120,478.38/166,257.42 = 69,491.22/x
  3. Step 3: Cross multiply
    120,478.38x = 166,257.42 × 69,491.22
  4. Step 4: Simplify right side
    120,478.38x = 11,553,430,949.85
  5. Step 5: Solve for x
    x = 11,553,430,949.85/120,478.38
  6. Step 6: Final answer
    x = 95,896.30

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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.