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Finding the Fourth Proportional to 242,094.38, 363,199.89 and 75,882.38

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Solution

The fourth proportional to 242,094.38, 363,199.89 and 75,882.38 is: 113,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,094.38 : 363,199.89 = 75,882.38 : x
  2. Step 2: Convert to fraction form
    242,094.38/363,199.89 = 75,882.38/x
  3. Step 3: Cross multiply
    242,094.38x = 363,199.89 × 75,882.38
  4. Step 4: Simplify right side
    242,094.38x = 27,560,470,252.94
  5. Step 5: Solve for x
    x = 27,560,470,252.94/242,094.38
  6. Step 6: Final answer
    x = 113,841.84

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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.