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Finding the Fourth Proportional to 217,534.72, 300,193.38 and 120,732.94

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Solution

The fourth proportional to 217,534.72, 300,193.38 and 120,732.94 is: 166,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,534.72 : 300,193.38 = 120,732.94 : x
  2. Step 2: Convert to fraction form
    217,534.72/300,193.38 = 120,732.94/x
  3. Step 3: Cross multiply
    217,534.72x = 300,193.38 × 120,732.94
  4. Step 4: Simplify right side
    217,534.72x = 36,243,229,335.94
  5. Step 5: Solve for x
    x = 36,243,229,335.94/217,534.72
  6. Step 6: Final answer
    x = 166,608.94

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Why These Related Problems?

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