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Finding the Fourth Proportional to 267,186.44, 368,777.94 and 166,565

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Solution

The fourth proportional to 267,186.44, 368,777.94 and 166,565 is: 229,897.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,186.44 : 368,777.94 = 166,565 : x
  2. Step 2: Convert to fraction form
    267,186.44/368,777.94 = 166,565/x
  3. Step 3: Cross multiply
    267,186.44x = 368,777.94 × 166,565
  4. Step 4: Simplify right side
    267,186.44x = 61,425,497,576.10
  5. Step 5: Solve for x
    x = 61,425,497,576.10/267,186.44
  6. Step 6: Final answer
    x = 229,897.51

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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.