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Finding the Fourth Proportional to 137,523.72, 206,288.46 and 44,029.20

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Solution

The fourth proportional to 137,523.72, 206,288.46 and 44,029.20 is: 66,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,523.72 : 206,288.46 = 44,029.20 : x
  2. Step 2: Convert to fraction form
    137,523.72/206,288.46 = 44,029.20/x
  3. Step 3: Cross multiply
    137,523.72x = 206,288.46 × 44,029.20
  4. Step 4: Simplify right side
    137,523.72x = 9,082,715,863.03
  5. Step 5: Solve for x
    x = 9,082,715,863.03/137,523.72
  6. Step 6: Final answer
    x = 66,044.72

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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.