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Finding the Fourth Proportional to 141,995.88, 213,057 and 75,419.82

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Solution

The fourth proportional to 141,995.88, 213,057 and 75,419.82 is: 113,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,995.88 : 213,057 = 75,419.82 : x
  2. Step 2: Convert to fraction form
    141,995.88/213,057 = 75,419.82/x
  3. Step 3: Cross multiply
    141,995.88x = 213,057 × 75,419.82
  4. Step 4: Simplify right side
    141,995.88x = 16,068,720,589.74
  5. Step 5: Solve for x
    x = 16,068,720,589.74/141,995.88
  6. Step 6: Final answer
    x = 113,163.29

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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.