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Finding the Fourth Proportional to 282,034.26, 389,203.65 and 161,174.16

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Solution

The fourth proportional to 282,034.26, 389,203.65 and 161,174.16 is: 222,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,034.26 : 389,203.65 = 161,174.16 : x
  2. Step 2: Convert to fraction form
    282,034.26/389,203.65 = 161,174.16/x
  3. Step 3: Cross multiply
    282,034.26x = 389,203.65 × 161,174.16
  4. Step 4: Simplify right side
    282,034.26x = 62,729,571,357.68
  5. Step 5: Solve for x
    x = 62,729,571,357.68/282,034.26
  6. Step 6: Final answer
    x = 222,418.27

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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.