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Finding the Fourth Proportional to 275,935.24, 380,894.66 and 161,251.12

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Solution

The fourth proportional to 275,935.24, 380,894.66 and 161,251.12 is: 222,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,935.24 : 380,894.66 = 161,251.12 : x
  2. Step 2: Convert to fraction form
    275,935.24/380,894.66 = 161,251.12/x
  3. Step 3: Cross multiply
    275,935.24x = 380,894.66 × 161,251.12
  4. Step 4: Simplify right side
    275,935.24x = 61,419,690,527.02
  5. Step 5: Solve for x
    x = 61,419,690,527.02/275,935.24
  6. Step 6: Final answer
    x = 222,587.34

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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.