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Finding the Fourth Proportional to 159,493.85, 220,106.49 and 91,523.25

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Solution

The fourth proportional to 159,493.85, 220,106.49 and 91,523.25 is: 126,304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,493.85 : 220,106.49 = 91,523.25 : x
  2. Step 2: Convert to fraction form
    159,493.85/220,106.49 = 91,523.25/x
  3. Step 3: Cross multiply
    159,493.85x = 220,106.49 × 91,523.25
  4. Step 4: Simplify right side
    159,493.85x = 20,144,861,310.89
  5. Step 5: Solve for x
    x = 20,144,861,310.89/159,493.85
  6. Step 6: Final answer
    x = 126,304.94

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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.