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Finding the Fourth Proportional to 267,822.44, 369,768.11 and 165,956

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Solution

The fourth proportional to 267,822.44, 369,768.11 and 165,956 is: 229,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,822.44 : 369,768.11 = 165,956 : x
  2. Step 2: Convert to fraction form
    267,822.44/369,768.11 = 165,956/x
  3. Step 3: Cross multiply
    267,822.44x = 369,768.11 × 165,956
  4. Step 4: Simplify right side
    267,822.44x = 61,365,236,463.16
  5. Step 5: Solve for x
    x = 61,365,236,463.16/267,822.44
  6. Step 6: Final answer
    x = 229,126.57

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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.