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Finding the Fourth Proportional to 267,697.28, 401,010.54 and 161,022.32

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Solution

The fourth proportional to 267,697.28, 401,010.54 and 161,022.32 is: 241,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,697.28 : 401,010.54 = 161,022.32 : x
  2. Step 2: Convert to fraction form
    267,697.28/401,010.54 = 161,022.32/x
  3. Step 3: Cross multiply
    267,697.28x = 401,010.54 × 161,022.32
  4. Step 4: Simplify right side
    267,697.28x = 64,571,647,495.25
  5. Step 5: Solve for x
    x = 64,571,647,495.25/267,697.28
  6. Step 6: Final answer
    x = 241,211.44

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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.