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Finding the Fourth Proportional to 254,164.52, 381,249.52 and 76,673.07

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Solution

The fourth proportional to 254,164.52, 381,249.52 and 76,673.07 is: 115,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,164.52 : 381,249.52 = 76,673.07 : x
  2. Step 2: Convert to fraction form
    254,164.52/381,249.52 = 76,673.07/x
  3. Step 3: Cross multiply
    254,164.52x = 381,249.52 × 76,673.07
  4. Step 4: Simplify right side
    254,164.52x = 29,231,570,942.74
  5. Step 5: Solve for x
    x = 29,231,570,942.74/254,164.52
  6. Step 6: Final answer
    x = 115,010.43

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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.