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Finding the Fourth Proportional to 142,685, 196,904.88 and 82,255.31

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Solution

The fourth proportional to 142,685, 196,904.88 and 82,255.31 is: 113,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,685 : 196,904.88 = 82,255.31 : x
  2. Step 2: Convert to fraction form
    142,685/196,904.88 = 82,255.31/x
  3. Step 3: Cross multiply
    142,685x = 196,904.88 × 82,255.31
  4. Step 4: Simplify right side
    142,685x = 16,196,471,944.91
  5. Step 5: Solve for x
    x = 16,196,471,944.91/142,685
  6. Step 6: Final answer
    x = 113,512.09

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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.