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Finding the Fourth Proportional to 231,288.49, 319,190.31 and 140,629.44

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Solution

The fourth proportional to 231,288.49, 319,190.31 and 140,629.44 is: 194,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,288.49 : 319,190.31 = 140,629.44 : x
  2. Step 2: Convert to fraction form
    231,288.49/319,190.31 = 140,629.44/x
  3. Step 3: Cross multiply
    231,288.49x = 319,190.31 × 140,629.44
  4. Step 4: Simplify right side
    231,288.49x = 44,887,555,745.69
  5. Step 5: Solve for x
    x = 44,887,555,745.69/231,288.49
  6. Step 6: Final answer
    x = 194,076.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.