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Finding the Fourth Proportional to 131,311.96, 196,939.14 and 37,797.40

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Solution

The fourth proportional to 131,311.96, 196,939.14 and 37,797.40 is: 56,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,311.96 : 196,939.14 = 37,797.40 : x
  2. Step 2: Convert to fraction form
    131,311.96/196,939.14 = 37,797.40/x
  3. Step 3: Cross multiply
    131,311.96x = 196,939.14 × 37,797.40
  4. Step 4: Simplify right side
    131,311.96x = 7,443,787,450.24
  5. Step 5: Solve for x
    x = 7,443,787,450.24/131,311.96
  6. Step 6: Final answer
    x = 56,687.81

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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.