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Finding the Fourth Proportional to 95,967.57, 132,366.66 and 83,197.92

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Solution

The fourth proportional to 95,967.57, 132,366.66 and 83,197.92 is: 114,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,967.57 : 132,366.66 = 83,197.92 : x
  2. Step 2: Convert to fraction form
    95,967.57/132,366.66 = 83,197.92/x
  3. Step 3: Cross multiply
    95,967.57x = 132,366.66 × 83,197.92
  4. Step 4: Simplify right side
    95,967.57x = 11,012,630,789.35
  5. Step 5: Solve for x
    x = 11,012,630,789.35/95,967.57
  6. Step 6: Final answer
    x = 114,753.67

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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.