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Finding the Fourth Proportional to 142,434.69, 196,578.48 and 82,007.88

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Solution

The fourth proportional to 142,434.69, 196,578.48 and 82,007.88 is: 113,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,434.69 : 196,578.48 = 82,007.88 : x
  2. Step 2: Convert to fraction form
    142,434.69/196,578.48 = 82,007.88/x
  3. Step 3: Cross multiply
    142,434.69x = 196,578.48 × 82,007.88
  4. Step 4: Simplify right side
    142,434.69x = 16,120,984,398.42
  5. Step 5: Solve for x
    x = 16,120,984,398.42/142,434.69
  6. Step 6: Final answer
    x = 113,181.59

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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.