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Finding the Fourth Proportional to 149,302.89, 206,037.96 and 82,234.89

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Solution

The fourth proportional to 149,302.89, 206,037.96 and 82,234.89 is: 113,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302.89 : 206,037.96 = 82,234.89 : x
  2. Step 2: Convert to fraction form
    149,302.89/206,037.96 = 82,234.89/x
  3. Step 3: Cross multiply
    149,302.89x = 206,037.96 × 82,234.89
  4. Step 4: Simplify right side
    149,302.89x = 16,943,508,976.42
  5. Step 5: Solve for x
    x = 16,943,508,976.42/149,302.89
  6. Step 6: Final answer
    x = 113,484.13

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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.