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Finding the Fourth Proportional to 242,758.63, 364,137.94 and 76,546.63

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Solution

The fourth proportional to 242,758.63, 364,137.94 and 76,546.63 is: 114,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,758.63 : 364,137.94 = 76,546.63 : x
  2. Step 2: Convert to fraction form
    242,758.63/364,137.94 = 76,546.63/x
  3. Step 3: Cross multiply
    242,758.63x = 364,137.94 × 76,546.63
  4. Step 4: Simplify right side
    242,758.63x = 27,873,530,341.45
  5. Step 5: Solve for x
    x = 27,873,530,341.45/242,758.63
  6. Step 6: Final answer
    x = 114,819.94

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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.