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Finding the Fourth Proportional to 142,578.68, 196,741.28 and 82,168.88

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Solution

The fourth proportional to 142,578.68, 196,741.28 and 82,168.88 is: 113,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,578.68 : 196,741.28 = 82,168.88 : x
  2. Step 2: Convert to fraction form
    142,578.68/196,741.28 = 82,168.88/x
  3. Step 3: Cross multiply
    142,578.68x = 196,741.28 × 82,168.88
  4. Step 4: Simplify right side
    142,578.68x = 16,166,010,627.37
  5. Step 5: Solve for x
    x = 16,166,010,627.37/142,578.68
  6. Step 6: Final answer
    x = 113,383.09

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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.