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Finding the Fourth Proportional to 267,971.38, 369,786.56 and 159,080.22

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Solution

The fourth proportional to 267,971.38, 369,786.56 and 159,080.22 is: 219,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,971.38 : 369,786.56 = 159,080.22 : x
  2. Step 2: Convert to fraction form
    267,971.38/369,786.56 = 159,080.22/x
  3. Step 3: Cross multiply
    267,971.38x = 369,786.56 × 159,080.22
  4. Step 4: Simplify right side
    267,971.38x = 58,825,727,317.84
  5. Step 5: Solve for x
    x = 58,825,727,317.84/267,971.38
  6. Step 6: Final answer
    x = 219,522.43

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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.