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Finding the Fourth Proportional to 137,523.97, 206,288.84 and 44,029.45

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Solution

The fourth proportional to 137,523.97, 206,288.84 and 44,029.45 is: 66,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,523.97 : 206,288.84 = 44,029.45 : x
  2. Step 2: Convert to fraction form
    137,523.97/206,288.84 = 44,029.45/x
  3. Step 3: Cross multiply
    137,523.97x = 206,288.84 × 44,029.45
  4. Step 4: Simplify right side
    137,523.97x = 9,082,784,166.34
  5. Step 5: Solve for x
    x = 9,082,784,166.34/137,523.97
  6. Step 6: Final answer
    x = 66,045.10

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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.