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Finding the Fourth Proportional to 150,186.22, 206,917.09 and 123,286.14

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Solution

The fourth proportional to 150,186.22, 206,917.09 and 123,286.14 is: 169,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,186.22 : 206,917.09 = 123,286.14 : x
  2. Step 2: Convert to fraction form
    150,186.22/206,917.09 = 123,286.14/x
  3. Step 3: Cross multiply
    150,186.22x = 206,917.09 × 123,286.14
  4. Step 4: Simplify right side
    150,186.22x = 25,510,009,326.13
  5. Step 5: Solve for x
    x = 25,510,009,326.13/150,186.22
  6. Step 6: Final answer
    x = 169,855.86

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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.