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Finding the Fourth Proportional to 142,908.58, 197,168.34 and 82,471.24

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Solution

The fourth proportional to 142,908.58, 197,168.34 and 82,471.24 is: 113,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,908.58 : 197,168.34 = 82,471.24 : x
  2. Step 2: Convert to fraction form
    142,908.58/197,168.34 = 82,471.24/x
  3. Step 3: Cross multiply
    142,908.58x = 197,168.34 × 82,471.24
  4. Step 4: Simplify right side
    142,908.58x = 16,260,717,488.54
  5. Step 5: Solve for x
    x = 16,260,717,488.54/142,908.58
  6. Step 6: Final answer
    x = 113,784.05

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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.