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Finding the Fourth Proportional to 231,811.20, 347,716.80 and 82,050.30

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Solution

The fourth proportional to 231,811.20, 347,716.80 and 82,050.30 is: 123,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,811.20 : 347,716.80 = 82,050.30 : x
  2. Step 2: Convert to fraction form
    231,811.20/347,716.80 = 82,050.30/x
  3. Step 3: Cross multiply
    231,811.20x = 347,716.80 × 82,050.30
  4. Step 4: Simplify right side
    231,811.20x = 28,530,267,755.04
  5. Step 5: Solve for x
    x = 28,530,267,755.04/231,811.20
  6. Step 6: Final answer
    x = 123,075.45

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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.