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Finding the Fourth Proportional to 206,992.73, 285,658.07 and 116,348.42

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Solution

The fourth proportional to 206,992.73, 285,658.07 and 116,348.42 is: 160,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,992.73 : 285,658.07 = 116,348.42 : x
  2. Step 2: Convert to fraction form
    206,992.73/285,658.07 = 116,348.42/x
  3. Step 3: Cross multiply
    206,992.73x = 285,658.07 × 116,348.42
  4. Step 4: Simplify right side
    206,992.73x = 33,235,863,094.72
  5. Step 5: Solve for x
    x = 33,235,863,094.72/206,992.73
  6. Step 6: Final answer
    x = 160,565.37

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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.