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Finding the Fourth Proportional to 143,294.62, 197,730.87 and 82,856.12

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Solution

The fourth proportional to 143,294.62, 197,730.87 and 82,856.12 is: 114,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,294.62 : 197,730.87 = 82,856.12 : x
  2. Step 2: Convert to fraction form
    143,294.62/197,730.87 = 82,856.12/x
  3. Step 3: Cross multiply
    143,294.62x = 197,730.87 × 82,856.12
  4. Step 4: Simplify right side
    143,294.62x = 16,383,212,692.42
  5. Step 5: Solve for x
    x = 16,383,212,692.42/143,294.62
  6. Step 6: Final answer
    x = 114,332.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.