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Finding the Fourth Proportional to 329,140.80, 493,711.20 and 107,524.80

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Solution

The fourth proportional to 329,140.80, 493,711.20 and 107,524.80 is: 161,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,140.80 : 493,711.20 = 107,524.80 : x
  2. Step 2: Convert to fraction form
    329,140.80/493,711.20 = 107,524.80/x
  3. Step 3: Cross multiply
    329,140.80x = 493,711.20 × 107,524.80
  4. Step 4: Simplify right side
    329,140.80x = 53,086,198,037.76
  5. Step 5: Solve for x
    x = 53,086,198,037.76/329,140.80
  6. Step 6: Final answer
    x = 161,287.20

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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.