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Finding the Fourth Proportional to 321,391.10, 482,093.46 and 108,165.48

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Solution

The fourth proportional to 321,391.10, 482,093.46 and 108,165.48 is: 162,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,391.10 : 482,093.46 = 108,165.48 : x
  2. Step 2: Convert to fraction form
    321,391.10/482,093.46 = 108,165.48/x
  3. Step 3: Cross multiply
    321,391.10x = 482,093.46 × 108,165.48
  4. Step 4: Simplify right side
    321,391.10x = 52,145,870,505.76
  5. Step 5: Solve for x
    x = 52,145,870,505.76/321,391.10
  6. Step 6: Final answer
    x = 162,250.51

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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.