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Finding the Fourth Proportional to 142,578.56, 196,782.82 and 82,138.38

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Solution

The fourth proportional to 142,578.56, 196,782.82 and 82,138.38 is: 113,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,578.56 : 196,782.82 = 82,138.38 : x
  2. Step 2: Convert to fraction form
    142,578.56/196,782.82 = 82,138.38/x
  3. Step 3: Cross multiply
    142,578.56x = 196,782.82 × 82,138.38
  4. Step 4: Simplify right side
    142,578.56x = 16,163,422,046.63
  5. Step 5: Solve for x
    x = 16,163,422,046.63/142,578.56
  6. Step 6: Final answer
    x = 113,365.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.