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Finding the Fourth Proportional to 233,057.91, 349,512.75 and 75,249.66

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Solution

The fourth proportional to 233,057.91, 349,512.75 and 75,249.66 is: 112,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,057.91 : 349,512.75 = 75,249.66 : x
  2. Step 2: Convert to fraction form
    233,057.91/349,512.75 = 75,249.66/x
  3. Step 3: Cross multiply
    233,057.91x = 349,512.75 × 75,249.66
  4. Step 4: Simplify right side
    233,057.91x = 26,300,715,603.17
  5. Step 5: Solve for x
    x = 26,300,715,603.17/233,057.91
  6. Step 6: Final answer
    x = 112,850.56

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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.