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Finding the Fourth Proportional to 206,009.14, 284,297.65 and 115,364.34

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Solution

The fourth proportional to 206,009.14, 284,297.65 and 115,364.34 is: 159,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,009.14 : 284,297.65 = 115,364.34 : x
  2. Step 2: Convert to fraction form
    206,009.14/284,297.65 = 115,364.34/x
  3. Step 3: Cross multiply
    206,009.14x = 284,297.65 × 115,364.34
  4. Step 4: Simplify right side
    206,009.14x = 32,797,810,755.80
  5. Step 5: Solve for x
    x = 32,797,810,755.80/206,009.14
  6. Step 6: Final answer
    x = 159,205.61

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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.