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Finding the Fourth Proportional to 228,082.33, 341,911.80 and 108,195.52

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Solution

The fourth proportional to 228,082.33, 341,911.80 and 108,195.52 is: 162,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,082.33 : 341,911.80 = 108,195.52 : x
  2. Step 2: Convert to fraction form
    228,082.33/341,911.80 = 108,195.52/x
  3. Step 3: Cross multiply
    228,082.33x = 341,911.80 × 108,195.52
  4. Step 4: Simplify right side
    228,082.33x = 36,993,324,140.36
  5. Step 5: Solve for x
    x = 36,993,324,140.36/228,082.33
  6. Step 6: Final answer
    x = 162,192.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.