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Finding the Fourth Proportional to 290,254.42, 400,537.55 and 161,201.26

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Solution

The fourth proportional to 290,254.42, 400,537.55 and 161,201.26 is: 222,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,254.42 : 400,537.55 = 161,201.26 : x
  2. Step 2: Convert to fraction form
    290,254.42/400,537.55 = 161,201.26/x
  3. Step 3: Cross multiply
    290,254.42x = 400,537.55 × 161,201.26
  4. Step 4: Simplify right side
    290,254.42x = 64,567,157,138.97
  5. Step 5: Solve for x
    x = 64,567,157,138.97/290,254.42
  6. Step 6: Final answer
    x = 222,450.21

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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.