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Finding the Fourth Proportional to 120,308.92, 166,002.78 and 75,571

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Solution

The fourth proportional to 120,308.92, 166,002.78 and 75,571 is: 104,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,308.92 : 166,002.78 = 75,571 : x
  2. Step 2: Convert to fraction form
    120,308.92/166,002.78 = 75,571/x
  3. Step 3: Cross multiply
    120,308.92x = 166,002.78 × 75,571
  4. Step 4: Simplify right side
    120,308.92x = 12,544,996,087.38
  5. Step 5: Solve for x
    x = 12,544,996,087.38/120,308.92
  6. Step 6: Final answer
    x = 104,273.20

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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.