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Finding the Fourth Proportional to 120,967.82, 166,917.28 and 69,276.88

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Solution

The fourth proportional to 120,967.82, 166,917.28 and 69,276.88 is: 95,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,967.82 : 166,917.28 = 69,276.88 : x
  2. Step 2: Convert to fraction form
    120,967.82/166,917.28 = 69,276.88/x
  3. Step 3: Cross multiply
    120,967.82x = 166,917.28 × 69,276.88
  4. Step 4: Simplify right side
    120,967.82x = 11,563,508,098.97
  5. Step 5: Solve for x
    x = 11,563,508,098.97/120,967.82
  6. Step 6: Final answer
    x = 95,591.60

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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.