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Finding the Fourth Proportional to 267,884.34, 401,816.76 and 108,029.22

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Solution

The fourth proportional to 267,884.34, 401,816.76 and 108,029.22 is: 162,039.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,884.34 : 401,816.76 = 108,029.22 : x
  2. Step 2: Convert to fraction form
    267,884.34/401,816.76 = 108,029.22/x
  3. Step 3: Cross multiply
    267,884.34x = 401,816.76 × 108,029.22
  4. Step 4: Simplify right side
    267,884.34x = 43,407,951,165.73
  5. Step 5: Solve for x
    x = 43,407,951,165.73/267,884.34
  6. Step 6: Final answer
    x = 162,039.90

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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.