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Finding the Fourth Proportional to 142,589.57, 196,794.70 and 82,148.72

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Solution

The fourth proportional to 142,589.57, 196,794.70 and 82,148.72 is: 113,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,589.57 : 196,794.70 = 82,148.72 : x
  2. Step 2: Convert to fraction form
    142,589.57/196,794.70 = 82,148.72/x
  3. Step 3: Cross multiply
    142,589.57x = 196,794.70 × 82,148.72
  4. Step 4: Simplify right side
    142,589.57x = 16,166,431,518.44
  5. Step 5: Solve for x
    x = 16,166,431,518.44/142,589.57
  6. Step 6: Final answer
    x = 113,377.38

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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.