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Finding the Fourth Proportional to 267,682.84, 400,988.92 and 161,007.88

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Solution

The fourth proportional to 267,682.84, 400,988.92 and 161,007.88 is: 241,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,682.84 : 400,988.92 = 161,007.88 : x
  2. Step 2: Convert to fraction form
    267,682.84/400,988.92 = 161,007.88/x
  3. Step 3: Cross multiply
    267,682.84x = 400,988.92 × 161,007.88
  4. Step 4: Simplify right side
    267,682.84x = 64,562,375,912.69
  5. Step 5: Solve for x
    x = 64,562,375,912.69/267,682.84
  6. Step 6: Final answer
    x = 241,189.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.