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Finding the Fourth Proportional to 231,570.30, 319,629.87 and 136,107.66

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Solution

The fourth proportional to 231,570.30, 319,629.87 and 136,107.66 is: 187,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,570.30 : 319,629.87 = 136,107.66 : x
  2. Step 2: Convert to fraction form
    231,570.30/319,629.87 = 136,107.66/x
  3. Step 3: Cross multiply
    231,570.30x = 319,629.87 × 136,107.66
  4. Step 4: Simplify right side
    231,570.30x = 43,504,073,671.80
  5. Step 5: Solve for x
    x = 43,504,073,671.80/231,570.30
  6. Step 6: Final answer
    x = 187,865.52

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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.