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Finding the Fourth Proportional to 149,694.89, 206,573.78 and 89,234.38

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Solution

The fourth proportional to 149,694.89, 206,573.78 and 89,234.38 is: 123,140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,694.89 : 206,573.78 = 89,234.38 : x
  2. Step 2: Convert to fraction form
    149,694.89/206,573.78 = 89,234.38/x
  3. Step 3: Cross multiply
    149,694.89x = 206,573.78 × 89,234.38
  4. Step 4: Simplify right side
    149,694.89x = 18,433,481,703.52
  5. Step 5: Solve for x
    x = 18,433,481,703.52/149,694.89
  6. Step 6: Final answer
    x = 123,140.35

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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.