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Finding the Fourth Proportional to 242,758.69, 364,138.03 and 76,546.69

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Solution

The fourth proportional to 242,758.69, 364,138.03 and 76,546.69 is: 114,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,758.69 : 364,138.03 = 76,546.69 : x
  2. Step 2: Convert to fraction form
    242,758.69/364,138.03 = 76,546.69/x
  3. Step 3: Cross multiply
    242,758.69x = 364,138.03 × 76,546.69
  4. Step 4: Simplify right side
    242,758.69x = 27,873,560,899.62
  5. Step 5: Solve for x
    x = 27,873,560,899.62/242,758.69
  6. Step 6: Final answer
    x = 114,820.03

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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.