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Finding the Fourth Proportional to 205,366.20, 308,049.30 and 116,892.60

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Solution

The fourth proportional to 205,366.20, 308,049.30 and 116,892.60 is: 175,338.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,366.20 : 308,049.30 = 116,892.60 : x
  2. Step 2: Convert to fraction form
    205,366.20/308,049.30 = 116,892.60/x
  3. Step 3: Cross multiply
    205,366.20x = 308,049.30 × 116,892.60
  4. Step 4: Simplify right side
    205,366.20x = 36,008,683,605.18
  5. Step 5: Solve for x
    x = 36,008,683,605.18/205,366.20
  6. Step 6: Final answer
    x = 175,338.90

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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.