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Finding the Fourth Proportional to 120,201.88, 165,727.80 and 77,105.38

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Solution

The fourth proportional to 120,201.88, 165,727.80 and 77,105.38 is: 106,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,201.88 : 165,727.80 = 77,105.38 : x
  2. Step 2: Convert to fraction form
    120,201.88/165,727.80 = 77,105.38/x
  3. Step 3: Cross multiply
    120,201.88x = 165,727.80 × 77,105.38
  4. Step 4: Simplify right side
    120,201.88x = 12,778,504,995.56
  5. Step 5: Solve for x
    x = 12,778,504,995.56/120,201.88
  6. Step 6: Final answer
    x = 106,308.69

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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.