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Finding the Fourth Proportional to 242,103.75, 363,213.95 and 75,891.75

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Solution

The fourth proportional to 242,103.75, 363,213.95 and 75,891.75 is: 113,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,103.75 : 363,213.95 = 75,891.75 : x
  2. Step 2: Convert to fraction form
    242,103.75/363,213.95 = 75,891.75/x
  3. Step 3: Cross multiply
    242,103.75x = 363,213.95 × 75,891.75
  4. Step 4: Simplify right side
    242,103.75x = 27,564,941,910.45
  5. Step 5: Solve for x
    x = 27,564,941,910.45/242,103.75
  6. Step 6: Final answer
    x = 113,855.91

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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.