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Finding the Fourth Proportional to 263,163.12, 394,796.52 and 96,952.56

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Solution

The fourth proportional to 263,163.12, 394,796.52 and 96,952.56 is: 145,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,163.12 : 394,796.52 = 96,952.56 : x
  2. Step 2: Convert to fraction form
    263,163.12/394,796.52 = 96,952.56/x
  3. Step 3: Cross multiply
    263,163.12x = 394,796.52 × 96,952.56
  4. Step 4: Simplify right side
    263,163.12x = 38,276,533,293.09
  5. Step 5: Solve for x
    x = 38,276,533,293.09/263,163.12
  6. Step 6: Final answer
    x = 145,447.94

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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.