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Finding the Fourth Proportional to 329,771.14, 494,692.56 and 105,078.76

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Solution

The fourth proportional to 329,771.14, 494,692.56 and 105,078.76 is: 157,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,771.14 : 494,692.56 = 105,078.76 : x
  2. Step 2: Convert to fraction form
    329,771.14/494,692.56 = 105,078.76/x
  3. Step 3: Cross multiply
    329,771.14x = 494,692.56 × 105,078.76
  4. Step 4: Simplify right side
    329,771.14x = 51,981,680,786.03
  5. Step 5: Solve for x
    x = 51,981,680,786.03/329,771.14
  6. Step 6: Final answer
    x = 157,629.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.