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Finding the Fourth Proportional to 119,882.56, 165,493.92 and 69,571.84

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Solution

The fourth proportional to 119,882.56, 165,493.92 and 69,571.84 is: 96,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,882.56 : 165,493.92 = 69,571.84 : x
  2. Step 2: Convert to fraction form
    119,882.56/165,493.92 = 69,571.84/x
  3. Step 3: Cross multiply
    119,882.56x = 165,493.92 × 69,571.84
  4. Step 4: Simplify right side
    119,882.56x = 11,513,716,523.21
  5. Step 5: Solve for x
    x = 11,513,716,523.21/119,882.56
  6. Step 6: Final answer
    x = 96,041.63

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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.