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Finding the Fourth Proportional to 259,741.26, 389,650.84 and 91,231.88

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Solution

The fourth proportional to 259,741.26, 389,650.84 and 91,231.88 is: 136,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,741.26 : 389,650.84 = 91,231.88 : x
  2. Step 2: Convert to fraction form
    259,741.26/389,650.84 = 91,231.88/x
  3. Step 3: Cross multiply
    259,741.26x = 389,650.84 × 91,231.88
  4. Step 4: Simplify right side
    259,741.26x = 35,548,578,692.23
  5. Step 5: Solve for x
    x = 35,548,578,692.23/259,741.26
  6. Step 6: Final answer
    x = 136,861.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.