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Finding the Fourth Proportional to 216,484.91, 298,736.30 and 119,682.97

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Solution

The fourth proportional to 216,484.91, 298,736.30 and 119,682.97 is: 165,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,484.91 : 298,736.30 = 119,682.97 : x
  2. Step 2: Convert to fraction form
    216,484.91/298,736.30 = 119,682.97/x
  3. Step 3: Cross multiply
    216,484.91x = 298,736.30 × 119,682.97
  4. Step 4: Simplify right side
    216,484.91x = 35,753,647,630.81
  5. Step 5: Solve for x
    x = 35,753,647,630.81/216,484.91
  6. Step 6: Final answer
    x = 165,155.38

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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.