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Finding the Fourth Proportional to 282,097.73, 389,294.85 and 161,241.62

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Solution

The fourth proportional to 282,097.73, 389,294.85 and 161,241.62 is: 222,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,097.73 : 389,294.85 = 161,241.62 : x
  2. Step 2: Convert to fraction form
    282,097.73/389,294.85 = 161,241.62/x
  3. Step 3: Cross multiply
    282,097.73x = 389,294.85 × 161,241.62
  4. Step 4: Simplify right side
    282,097.73x = 62,770,532,271.66
  5. Step 5: Solve for x
    x = 62,770,532,271.66/282,097.73
  6. Step 6: Final answer
    x = 222,513.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.