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Finding the Fourth Proportional to 321,615.09, 482,082.17 and 108,179.82

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Solution

The fourth proportional to 321,615.09, 482,082.17 and 108,179.82 is: 162,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,615.09 : 482,082.17 = 108,179.82 : x
  2. Step 2: Convert to fraction form
    321,615.09/482,082.17 = 108,179.82/x
  3. Step 3: Cross multiply
    321,615.09x = 482,082.17 × 108,179.82
  4. Step 4: Simplify right side
    321,615.09x = 52,151,561,834.91
  5. Step 5: Solve for x
    x = 52,151,561,834.91/321,615.09
  6. Step 6: Final answer
    x = 162,155.21

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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.