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Finding the Fourth Proportional to 267,694.46, 401,006.32 and 161,019.50

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Solution

The fourth proportional to 267,694.46, 401,006.32 and 161,019.50 is: 241,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,694.46 : 401,006.32 = 161,019.50 : x
  2. Step 2: Convert to fraction form
    267,694.46/401,006.32 = 161,019.50/x
  3. Step 3: Cross multiply
    267,694.46x = 401,006.32 × 161,019.50
  4. Step 4: Simplify right side
    267,694.46x = 64,569,837,143.24
  5. Step 5: Solve for x
    x = 64,569,837,143.24/267,694.46
  6. Step 6: Final answer
    x = 241,207.22

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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.