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Finding the Fourth Proportional to 161,446.08, 222,769.34 and 89,824.26

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Solution

The fourth proportional to 161,446.08, 222,769.34 and 89,824.26 is: 123,942.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,446.08 : 222,769.34 = 89,824.26 : x
  2. Step 2: Convert to fraction form
    161,446.08/222,769.34 = 89,824.26/x
  3. Step 3: Cross multiply
    161,446.08x = 222,769.34 × 89,824.26
  4. Step 4: Simplify right side
    161,446.08x = 20,010,091,116.19
  5. Step 5: Solve for x
    x = 20,010,091,116.19/161,446.08
  6. Step 6: Final answer
    x = 123,942.87

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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.