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Finding the Fourth Proportional to 267,694.78, 401,006.79 and 161,019.82

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Solution

The fourth proportional to 267,694.78, 401,006.79 and 161,019.82 is: 241,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,694.78 : 401,006.79 = 161,019.82 : x
  2. Step 2: Convert to fraction form
    267,694.78/401,006.79 = 161,019.82/x
  3. Step 3: Cross multiply
    267,694.78x = 401,006.79 × 161,019.82
  4. Step 4: Simplify right side
    267,694.78x = 64,570,041,144.58
  5. Step 5: Solve for x
    x = 64,570,041,144.58/267,694.78
  6. Step 6: Final answer
    x = 241,207.70

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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.