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Finding the Fourth Proportional to 282,097.23, 389,294.16 and 161,241.12

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Solution

The fourth proportional to 282,097.23, 389,294.16 and 161,241.12 is: 222,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,097.23 : 389,294.16 = 161,241.12 : x
  2. Step 2: Convert to fraction form
    282,097.23/389,294.16 = 161,241.12/x
  3. Step 3: Cross multiply
    282,097.23x = 389,294.16 × 161,241.12
  4. Step 4: Simplify right side
    282,097.23x = 62,770,226,367.86
  5. Step 5: Solve for x
    x = 62,770,226,367.86/282,097.23
  6. Step 6: Final answer
    x = 222,512.74

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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.