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Finding the Fourth Proportional to 267,682.22, 369,400.47 and 165,687.37

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Solution

The fourth proportional to 267,682.22, 369,400.47 and 165,687.37 is: 228,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,682.22 : 369,400.47 = 165,687.37 : x
  2. Step 2: Convert to fraction form
    267,682.22/369,400.47 = 165,687.37/x
  3. Step 3: Cross multiply
    267,682.22x = 369,400.47 × 165,687.37
  4. Step 4: Simplify right side
    267,682.22x = 61,204,992,351.06
  5. Step 5: Solve for x
    x = 61,204,992,351.06/267,682.22
  6. Step 6: Final answer
    x = 228,647.96

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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.