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Finding the Fourth Proportional to 242,758.50, 364,137.75 and 76,546.50

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Solution

The fourth proportional to 242,758.50, 364,137.75 and 76,546.50 is: 114,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,758.50 : 364,137.75 = 76,546.50 : x
  2. Step 2: Convert to fraction form
    242,758.50/364,137.75 = 76,546.50/x
  3. Step 3: Cross multiply
    242,758.50x = 364,137.75 × 76,546.50
  4. Step 4: Simplify right side
    242,758.50x = 27,873,470,280.38
  5. Step 5: Solve for x
    x = 27,873,470,280.38/242,758.50
  6. Step 6: Final answer
    x = 114,819.75

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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.