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Finding the Fourth Proportional to 120,995.76, 166,978.03 and 67,283.04

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Solution

The fourth proportional to 120,995.76, 166,978.03 and 67,283.04 is: 92,852.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,995.76 : 166,978.03 = 67,283.04 : x
  2. Step 2: Convert to fraction form
    120,995.76/166,978.03 = 67,283.04/x
  3. Step 3: Cross multiply
    120,995.76x = 166,978.03 × 67,283.04
  4. Step 4: Simplify right side
    120,995.76x = 11,234,789,471.61
  5. Step 5: Solve for x
    x = 11,234,789,471.61/120,995.76
  6. Step 6: Final answer
    x = 92,852.75

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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.