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Finding the Fourth Proportional to 297,190.26, 410,121.18 and 161,224.29

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Solution

The fourth proportional to 297,190.26, 410,121.18 and 161,224.29 is: 222,488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,190.26 : 410,121.18 = 161,224.29 : x
  2. Step 2: Convert to fraction form
    297,190.26/410,121.18 = 161,224.29/x
  3. Step 3: Cross multiply
    297,190.26x = 410,121.18 × 161,224.29
  4. Step 4: Simplify right side
    297,190.26x = 66,121,496,059.46
  5. Step 5: Solve for x
    x = 66,121,496,059.46/297,190.26
  6. Step 6: Final answer
    x = 222,488.77

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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.