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Finding the Fourth Proportional to 263,102.52, 394,657.42 and 85,610.46

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Solution

The fourth proportional to 263,102.52, 394,657.42 and 85,610.46 is: 128,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,102.52 : 394,657.42 = 85,610.46 : x
  2. Step 2: Convert to fraction form
    263,102.52/394,657.42 = 85,610.46/x
  3. Step 3: Cross multiply
    263,102.52x = 394,657.42 × 85,610.46
  4. Step 4: Simplify right side
    263,102.52x = 33,786,803,268.61
  5. Step 5: Solve for x
    x = 33,786,803,268.61/263,102.52
  6. Step 6: Final answer
    x = 128,416.87

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