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Finding the Fourth Proportional to 204,266.70, 306,728.10 and 154,403.10

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Solution

The fourth proportional to 204,266.70, 306,728.10 and 154,403.10 is: 231,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,266.70 : 306,728.10 = 154,403.10 : x
  2. Step 2: Convert to fraction form
    204,266.70/306,728.10 = 154,403.10/x
  3. Step 3: Cross multiply
    204,266.70x = 306,728.10 × 154,403.10
  4. Step 4: Simplify right side
    204,266.70x = 47,359,769,497.11
  5. Step 5: Solve for x
    x = 47,359,769,497.11/204,266.70
  6. Step 6: Final answer
    x = 231,852.62

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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.