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Finding the Fourth Proportional to 119,679.36, 165,150.10 and 65,964.84

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Solution

The fourth proportional to 119,679.36, 165,150.10 and 65,964.84 is: 91,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,679.36 : 165,150.10 = 65,964.84 : x
  2. Step 2: Convert to fraction form
    119,679.36/165,150.10 = 65,964.84/x
  3. Step 3: Cross multiply
    119,679.36x = 165,150.10 × 65,964.84
  4. Step 4: Simplify right side
    119,679.36x = 10,894,099,922.48
  5. Step 5: Solve for x
    x = 10,894,099,922.48/119,679.36
  6. Step 6: Final answer
    x = 91,027.39

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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.