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Finding the Fourth Proportional to 204,183.09, 306,307.31 and 71,101.17

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Solution

The fourth proportional to 204,183.09, 306,307.31 and 71,101.17 is: 106,663.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,183.09 : 306,307.31 = 71,101.17 : x
  2. Step 2: Convert to fraction form
    204,183.09/306,307.31 = 71,101.17/x
  3. Step 3: Cross multiply
    204,183.09x = 306,307.31 × 71,101.17
  4. Step 4: Simplify right side
    204,183.09x = 21,778,807,765.05
  5. Step 5: Solve for x
    x = 21,778,807,765.05/204,183.09
  6. Step 6: Final answer
    x = 106,663.13

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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.