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Finding the Fourth Proportional to 206,546.48, 285,033.34 and 115,902.23

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Solution

The fourth proportional to 206,546.48, 285,033.34 and 115,902.23 is: 159,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,546.48 : 285,033.34 = 115,902.23 : x
  2. Step 2: Convert to fraction form
    206,546.48/285,033.34 = 115,902.23/x
  3. Step 3: Cross multiply
    206,546.48x = 285,033.34 × 115,902.23
  4. Step 4: Simplify right side
    206,546.48x = 33,035,999,730.35
  5. Step 5: Solve for x
    x = 33,035,999,730.35/206,546.48
  6. Step 6: Final answer
    x = 159,944.63

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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.