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Finding the Fourth Proportional to 206,586.06, 285,094.44 and 115,947.66

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Solution

The fourth proportional to 206,586.06, 285,094.44 and 115,947.66 is: 160,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,586.06 : 285,094.44 = 115,947.66 : x
  2. Step 2: Convert to fraction form
    206,586.06/285,094.44 = 115,947.66/x
  3. Step 3: Cross multiply
    206,586.06x = 285,094.44 × 115,947.66
  4. Step 4: Simplify right side
    206,586.06x = 33,056,033,197.01
  5. Step 5: Solve for x
    x = 33,056,033,197.01/206,586.06
  6. Step 6: Final answer
    x = 160,010.96

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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.