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Finding the Fourth Proportional to 217,736.48, 300,466.31 and 120,946.47

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Solution

The fourth proportional to 217,736.48, 300,466.31 and 120,946.47 is: 166,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,736.48 : 300,466.31 = 120,946.47 : x
  2. Step 2: Convert to fraction form
    217,736.48/300,466.31 = 120,946.47/x
  3. Step 3: Cross multiply
    217,736.48x = 300,466.31 × 120,946.47
  4. Step 4: Simplify right side
    217,736.48x = 36,340,339,850.79
  5. Step 5: Solve for x
    x = 36,340,339,850.79/217,736.48
  6. Step 6: Final answer
    x = 166,900.56

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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.