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Finding the Fourth Proportional to 263,188.34, 394,741.28 and 85,694.15

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Solution

The fourth proportional to 263,188.34, 394,741.28 and 85,694.15 is: 128,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,188.34 : 394,741.28 = 85,694.15 : x
  2. Step 2: Convert to fraction form
    263,188.34/394,741.28 = 85,694.15/x
  3. Step 3: Cross multiply
    263,188.34x = 394,741.28 × 85,694.15
  4. Step 4: Simplify right side
    263,188.34x = 33,827,016,057.33
  5. Step 5: Solve for x
    x = 33,827,016,057.33/263,188.34
  6. Step 6: Final answer
    x = 128,527.79

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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.