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Finding the Fourth Proportional to 142,960.77, 197,294.81 and 82,542.47

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Solution

The fourth proportional to 142,960.77, 197,294.81 and 82,542.47 is: 113,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,960.77 : 197,294.81 = 82,542.47 : x
  2. Step 2: Convert to fraction form
    142,960.77/197,294.81 = 82,542.47/x
  3. Step 3: Cross multiply
    142,960.77x = 197,294.81 × 82,542.47
  4. Step 4: Simplify right side
    142,960.77x = 16,285,199,536.39
  5. Step 5: Solve for x
    x = 16,285,199,536.39/142,960.77
  6. Step 6: Final answer
    x = 113,913.76

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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.