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Finding the Fourth Proportional to 204,210.69, 306,330.66 and 54,450.19

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Solution

The fourth proportional to 204,210.69, 306,330.66 and 54,450.19 is: 81,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,210.69 : 306,330.66 = 54,450.19 : x
  2. Step 2: Convert to fraction form
    204,210.69/306,330.66 = 54,450.19/x
  3. Step 3: Cross multiply
    204,210.69x = 306,330.66 × 54,450.19
  4. Step 4: Simplify right side
    204,210.69x = 16,679,763,022.74
  5. Step 5: Solve for x
    x = 16,679,763,022.74/204,210.69
  6. Step 6: Final answer
    x = 81,679.19

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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.