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Finding the Fourth Proportional to 142,608.87, 196,821 and 82,167.84

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Solution

The fourth proportional to 142,608.87, 196,821 and 82,167.84 is: 113,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,608.87 : 196,821 = 82,167.84 : x
  2. Step 2: Convert to fraction form
    142,608.87/196,821 = 82,167.84/x
  3. Step 3: Cross multiply
    142,608.87x = 196,821 × 82,167.84
  4. Step 4: Simplify right side
    142,608.87x = 16,172,356,436.64
  5. Step 5: Solve for x
    x = 16,172,356,436.64/142,608.87
  6. Step 6: Final answer
    x = 113,403.58

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