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Finding the Fourth Proportional to 263,027.82, 363,000.51 and 161,052.78

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Solution

The fourth proportional to 263,027.82, 363,000.51 and 161,052.78 is: 222,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,027.82 : 363,000.51 = 161,052.78 : x
  2. Step 2: Convert to fraction form
    263,027.82/363,000.51 = 161,052.78/x
  3. Step 3: Cross multiply
    263,027.82x = 363,000.51 × 161,052.78
  4. Step 4: Simplify right side
    263,027.82x = 58,462,241,276.92
  5. Step 5: Solve for x
    x = 58,462,241,276.92/263,027.82
  6. Step 6: Final answer
    x = 222,266.38

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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.