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Finding the Fourth Proportional to 110,356.84, 165,478.14 and 54,171.88

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Solution

The fourth proportional to 110,356.84, 165,478.14 and 54,171.88 is: 81,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,356.84 : 165,478.14 = 54,171.88 : x
  2. Step 2: Convert to fraction form
    110,356.84/165,478.14 = 54,171.88/x
  3. Step 3: Cross multiply
    110,356.84x = 165,478.14 × 54,171.88
  4. Step 4: Simplify right side
    110,356.84x = 8,964,261,942.70
  5. Step 5: Solve for x
    x = 8,964,261,942.70/110,356.84
  6. Step 6: Final answer
    x = 81,229.78

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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.