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Finding the Fourth Proportional to 165,022, 227,734.44 and 89,570.32

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Solution

The fourth proportional to 165,022, 227,734.44 and 89,570.32 is: 123,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,022 : 227,734.44 = 89,570.32 : x
  2. Step 2: Convert to fraction form
    165,022/227,734.44 = 89,570.32/x
  3. Step 3: Cross multiply
    165,022x = 227,734.44 × 89,570.32
  4. Step 4: Simplify right side
    165,022x = 20,398,246,665.82
  5. Step 5: Solve for x
    x = 20,398,246,665.82/165,022
  6. Step 6: Final answer
    x = 123,609.26

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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.