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Finding the Fourth Proportional to 120,496.90, 166,285.74 and 66,785.38

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Solution

The fourth proportional to 120,496.90, 166,285.74 and 66,785.38 is: 92,163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,496.90 : 166,285.74 = 66,785.38 : x
  2. Step 2: Convert to fraction form
    120,496.90/166,285.74 = 66,785.38/x
  3. Step 3: Cross multiply
    120,496.90x = 166,285.74 × 66,785.38
  4. Step 4: Simplify right side
    120,496.90x = 11,105,456,334.48
  5. Step 5: Solve for x
    x = 11,105,456,334.48/120,496.90
  6. Step 6: Final answer
    x = 92,163.83

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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.