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Finding the Fourth Proportional to 353,086.27, 487,248.81 and 200,138.56

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Solution

The fourth proportional to 353,086.27, 487,248.81 and 200,138.56 is: 276,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,086.27 : 487,248.81 = 200,138.56 : x
  2. Step 2: Convert to fraction form
    353,086.27/487,248.81 = 200,138.56/x
  3. Step 3: Cross multiply
    353,086.27x = 487,248.81 × 200,138.56
  4. Step 4: Simplify right side
    353,086.27x = 97,517,275,195.11
  5. Step 5: Solve for x
    x = 97,517,275,195.11/353,086.27
  6. Step 6: Final answer
    x = 276,185.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.