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Finding the Fourth Proportional to 263,819.62, 395,740.50 and 76,831.12

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Solution

The fourth proportional to 263,819.62, 395,740.50 and 76,831.12 is: 115,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,819.62 : 395,740.50 = 76,831.12 : x
  2. Step 2: Convert to fraction form
    263,819.62/395,740.50 = 76,831.12/x
  3. Step 3: Cross multiply
    263,819.62x = 395,740.50 × 76,831.12
  4. Step 4: Simplify right side
    263,819.62x = 30,405,185,844.36
  5. Step 5: Solve for x
    x = 30,405,185,844.36/263,819.62
  6. Step 6: Final answer
    x = 115,249.90

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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.