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Finding the Fourth Proportional to 108,204.38, 149,329.77 and 59,805.27

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Solution

The fourth proportional to 108,204.38, 149,329.77 and 59,805.27 is: 82,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,204.38 : 149,329.77 = 59,805.27 : x
  2. Step 2: Convert to fraction form
    108,204.38/149,329.77 = 59,805.27/x
  3. Step 3: Cross multiply
    108,204.38x = 149,329.77 × 59,805.27
  4. Step 4: Simplify right side
    108,204.38x = 8,930,707,213.89
  5. Step 5: Solve for x
    x = 8,930,707,213.89/108,204.38
  6. Step 6: Final answer
    x = 82,535.54

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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.