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Finding the Fourth Proportional to 157,942.56, 217,964.22 and 86,327.22

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Solution

The fourth proportional to 157,942.56, 217,964.22 and 86,327.22 is: 119,133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,942.56 : 217,964.22 = 86,327.22 : x
  2. Step 2: Convert to fraction form
    157,942.56/217,964.22 = 86,327.22/x
  3. Step 3: Cross multiply
    157,942.56x = 217,964.22 × 86,327.22
  4. Step 4: Simplify right side
    157,942.56x = 18,816,245,172.07
  5. Step 5: Solve for x
    x = 18,816,245,172.07/157,942.56
  6. Step 6: Final answer
    x = 119,133.47

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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.