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Finding the Fourth Proportional to 254,323.98, 381,489.60 and 76,832.52

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Solution

The fourth proportional to 254,323.98, 381,489.60 and 76,832.52 is: 115,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,323.98 : 381,489.60 = 76,832.52 : x
  2. Step 2: Convert to fraction form
    254,323.98/381,489.60 = 76,832.52/x
  3. Step 3: Cross multiply
    254,323.98x = 381,489.60 × 76,832.52
  4. Step 4: Simplify right side
    254,323.98x = 29,310,807,321.79
  5. Step 5: Solve for x
    x = 29,310,807,321.79/254,323.98
  6. Step 6: Final answer
    x = 115,249.88

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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.