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Finding the Fourth Proportional to 231,049.31, 319,286.47 and 166,729.64

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Solution

The fourth proportional to 231,049.31, 319,286.47 and 166,729.64 is: 230,403.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,049.31 : 319,286.47 = 166,729.64 : x
  2. Step 2: Convert to fraction form
    231,049.31/319,286.47 = 166,729.64/x
  3. Step 3: Cross multiply
    231,049.31x = 319,286.47 × 166,729.64
  4. Step 4: Simplify right side
    231,049.31x = 53,234,518,199.97
  5. Step 5: Solve for x
    x = 53,234,518,199.97/231,049.31
  6. Step 6: Final answer
    x = 230,403.28

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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.