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Finding the Fourth Proportional to 290,204.26, 400,507.03 and 161,167.61

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Solution

The fourth proportional to 290,204.26, 400,507.03 and 161,167.61 is: 222,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,204.26 : 400,507.03 = 161,167.61 : x
  2. Step 2: Convert to fraction form
    290,204.26/400,507.03 = 161,167.61/x
  3. Step 3: Cross multiply
    290,204.26x = 400,507.03 × 161,167.61
  4. Step 4: Simplify right side
    290,204.26x = 64,548,761,411.65
  5. Step 5: Solve for x
    x = 64,548,761,411.65/290,204.26
  6. Step 6: Final answer
    x = 222,425.27

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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.