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Finding the Fourth Proportional to 206,893.06, 285,512.61 and 117,469.06

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Solution

The fourth proportional to 206,893.06, 285,512.61 and 117,469.06 is: 162,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,893.06 : 285,512.61 = 117,469.06 : x
  2. Step 2: Convert to fraction form
    206,893.06/285,512.61 = 117,469.06/x
  3. Step 3: Cross multiply
    206,893.06x = 285,512.61 × 117,469.06
  4. Step 4: Simplify right side
    206,893.06x = 33,538,897,914.85
  5. Step 5: Solve for x
    x = 33,538,897,914.85/206,893.06
  6. Step 6: Final answer
    x = 162,107.41

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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.