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Finding the Fourth Proportional to 234,643.80, 351,965.70 and 76,834.20

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Solution

The fourth proportional to 234,643.80, 351,965.70 and 76,834.20 is: 115,251.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,643.80 : 351,965.70 = 76,834.20 : x
  2. Step 2: Convert to fraction form
    234,643.80/351,965.70 = 76,834.20/x
  3. Step 3: Cross multiply
    234,643.80x = 351,965.70 × 76,834.20
  4. Step 4: Simplify right side
    234,643.80x = 27,043,002,986.94
  5. Step 5: Solve for x
    x = 27,043,002,986.94/234,643.80
  6. Step 6: Final answer
    x = 115,251.30

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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.