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Finding the Fourth Proportional to 263,954, 395,997.04 and 76,965.50

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Solution

The fourth proportional to 263,954, 395,997.04 and 76,965.50 is: 115,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,954 : 395,997.04 = 76,965.50 : x
  2. Step 2: Convert to fraction form
    263,954/395,997.04 = 76,965.50/x
  3. Step 3: Cross multiply
    263,954x = 395,997.04 × 76,965.50
  4. Step 4: Simplify right side
    263,954x = 30,478,110,182.12
  5. Step 5: Solve for x
    x = 30,478,110,182.12/263,954
  6. Step 6: Final answer
    x = 115,467.51

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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.