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Finding the Fourth Proportional to 120,092.96, 165,736.86 and 66,376.82

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Solution

The fourth proportional to 120,092.96, 165,736.86 and 66,376.82 is: 91,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,092.96 : 165,736.86 = 66,376.82 : x
  2. Step 2: Convert to fraction form
    120,092.96/165,736.86 = 66,376.82/x
  3. Step 3: Cross multiply
    120,092.96x = 165,736.86 × 66,376.82
  4. Step 4: Simplify right side
    120,092.96x = 11,001,085,723.59
  5. Step 5: Solve for x
    x = 11,001,085,723.59/120,092.96
  6. Step 6: Final answer
    x = 91,604.75

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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.