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Finding the Fourth Proportional to 290,149.36, 400,388.13 and 161,080.31

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Solution

The fourth proportional to 290,149.36, 400,388.13 and 161,080.31 is: 222,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,149.36 : 400,388.13 = 161,080.31 : x
  2. Step 2: Convert to fraction form
    290,149.36/400,388.13 = 161,080.31/x
  3. Step 3: Cross multiply
    290,149.36x = 400,388.13 × 161,080.31
  4. Step 4: Simplify right side
    290,149.36x = 64,494,645,101.69
  5. Step 5: Solve for x
    x = 64,494,645,101.69/290,149.36
  6. Step 6: Final answer
    x = 222,280.85

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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.