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Finding the Fourth Proportional to 242,103.25, 363,213.20 and 75,891.25

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Solution

The fourth proportional to 242,103.25, 363,213.20 and 75,891.25 is: 113,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,103.25 : 363,213.20 = 75,891.25 : x
  2. Step 2: Convert to fraction form
    242,103.25/363,213.20 = 75,891.25/x
  3. Step 3: Cross multiply
    242,103.25x = 363,213.20 × 75,891.25
  4. Step 4: Simplify right side
    242,103.25x = 27,564,703,764.50
  5. Step 5: Solve for x
    x = 27,564,703,764.50/242,103.25
  6. Step 6: Final answer
    x = 113,855.16

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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.