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Finding the Fourth Proportional to 142,578.72, 196,741.26 and 82,168.92

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Solution

The fourth proportional to 142,578.72, 196,741.26 and 82,168.92 is: 113,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,578.72 : 196,741.26 = 82,168.92 : x
  2. Step 2: Convert to fraction form
    142,578.72/196,741.26 = 82,168.92/x
  3. Step 3: Cross multiply
    142,578.72x = 196,741.26 × 82,168.92
  4. Step 4: Simplify right side
    142,578.72x = 16,166,016,853.64
  5. Step 5: Solve for x
    x = 16,166,016,853.64/142,578.72
  6. Step 6: Final answer
    x = 113,383.10

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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.