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Finding the Fourth Proportional to 131,310.20, 196,965.30 and 32,814.20

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Solution

The fourth proportional to 131,310.20, 196,965.30 and 32,814.20 is: 49,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,310.20 : 196,965.30 = 32,814.20 : x
  2. Step 2: Convert to fraction form
    131,310.20/196,965.30 = 32,814.20/x
  3. Step 3: Cross multiply
    131,310.20x = 196,965.30 × 32,814.20
  4. Step 4: Simplify right side
    131,310.20x = 6,463,257,762.43
  5. Step 5: Solve for x
    x = 6,463,257,762.43/131,310.20
  6. Step 6: Final answer
    x = 49,221.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.