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Finding the Fourth Proportional to 206,815.68, 285,405.48 and 117,391.68

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Solution

The fourth proportional to 206,815.68, 285,405.48 and 117,391.68 is: 162,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,815.68 : 285,405.48 = 117,391.68 : x
  2. Step 2: Convert to fraction form
    206,815.68/285,405.48 = 117,391.68/x
  3. Step 3: Cross multiply
    206,815.68x = 285,405.48 × 117,391.68
  4. Step 4: Simplify right side
    206,815.68x = 33,504,228,778.41
  5. Step 5: Solve for x
    x = 33,504,228,778.41/206,815.68
  6. Step 6: Final answer
    x = 162,000.43

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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.