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Finding the Fourth Proportional to 104,909.75, 144,732.11 and 73,097.09

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Solution

The fourth proportional to 104,909.75, 144,732.11 and 73,097.09 is: 100,843.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,909.75 : 144,732.11 = 73,097.09 : x
  2. Step 2: Convert to fraction form
    104,909.75/144,732.11 = 73,097.09/x
  3. Step 3: Cross multiply
    104,909.75x = 144,732.11 × 73,097.09
  4. Step 4: Simplify right side
    104,909.75x = 10,579,496,066.90
  5. Step 5: Solve for x
    x = 10,579,496,066.90/104,909.75
  6. Step 6: Final answer
    x = 100,843.79

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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.