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Finding the Fourth Proportional to 231,542.64, 319,222.54 and 166,957.83

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Solution

The fourth proportional to 231,542.64, 319,222.54 and 166,957.83 is: 230,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,542.64 : 319,222.54 = 166,957.83 : x
  2. Step 2: Convert to fraction form
    231,542.64/319,222.54 = 166,957.83/x
  3. Step 3: Cross multiply
    231,542.64x = 319,222.54 × 166,957.83
  4. Step 4: Simplify right side
    231,542.64x = 53,296,700,551.98
  5. Step 5: Solve for x
    x = 53,296,700,551.98/231,542.64
  6. Step 6: Final answer
    x = 230,180.94

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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.