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Finding the Fourth Proportional to 264,930.38, 365,589.15 and 151,760.42

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Solution

The fourth proportional to 264,930.38, 365,589.15 and 151,760.42 is: 209,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,930.38 : 365,589.15 = 151,760.42 : x
  2. Step 2: Convert to fraction form
    264,930.38/365,589.15 = 151,760.42/x
  3. Step 3: Cross multiply
    264,930.38x = 365,589.15 × 151,760.42
  4. Step 4: Simplify right side
    264,930.38x = 55,481,962,951.44
  5. Step 5: Solve for x
    x = 55,481,962,951.44/264,930.38
  6. Step 6: Final answer
    x = 209,420.92

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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.