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Finding the Fourth Proportional to 263,187.32, 394,687.74 and 85,661.24

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Solution

The fourth proportional to 263,187.32, 394,687.74 and 85,661.24 is: 128,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,187.32 : 394,687.74 = 85,661.24 : x
  2. Step 2: Convert to fraction form
    263,187.32/394,687.74 = 85,661.24/x
  3. Step 3: Cross multiply
    263,187.32x = 394,687.74 × 85,661.24
  4. Step 4: Simplify right side
    263,187.32x = 33,809,441,221.20
  5. Step 5: Solve for x
    x = 33,809,441,221.20/263,187.32
  6. Step 6: Final answer
    x = 128,461.51

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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.