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Finding the Fourth Proportional to 142,572.33, 196,793.66 and 82,183.37

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Solution

The fourth proportional to 142,572.33, 196,793.66 and 82,183.37 is: 113,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,572.33 : 196,793.66 = 82,183.37 : x
  2. Step 2: Convert to fraction form
    142,572.33/196,793.66 = 82,183.37/x
  3. Step 3: Cross multiply
    142,572.33x = 196,793.66 × 82,183.37
  4. Step 4: Simplify right side
    142,572.33x = 16,173,165,394.92
  5. Step 5: Solve for x
    x = 16,173,165,394.92/142,572.33
  6. Step 6: Final answer
    x = 113,438.32

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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.