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Finding the Fourth Proportional to 230,121.84, 345,265.88 and 80,384.24

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Solution

The fourth proportional to 230,121.84, 345,265.88 and 80,384.24 is: 120,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,121.84 : 345,265.88 = 80,384.24 : x
  2. Step 2: Convert to fraction form
    230,121.84/345,265.88 = 80,384.24/x
  3. Step 3: Cross multiply
    230,121.84x = 345,265.88 × 80,384.24
  4. Step 4: Simplify right side
    230,121.84x = 27,753,935,361.73
  5. Step 5: Solve for x
    x = 27,753,935,361.73/230,121.84
  6. Step 6: Final answer
    x = 120,605.39

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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.