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Finding the Fourth Proportional to 267,383.50, 368,989.24 and 159,958.06

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Solution

The fourth proportional to 267,383.50, 368,989.24 and 159,958.06 is: 220,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,383.50 : 368,989.24 = 159,958.06 : x
  2. Step 2: Convert to fraction form
    267,383.50/368,989.24 = 159,958.06/x
  3. Step 3: Cross multiply
    267,383.50x = 368,989.24 × 159,958.06
  4. Step 4: Simplify right side
    267,383.50x = 59,022,802,991.27
  5. Step 5: Solve for x
    x = 59,022,802,991.27/267,383.50
  6. Step 6: Final answer
    x = 220,742.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.