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Finding the Fourth Proportional to 228,085.70, 341,916.84 and 108,198.90

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Solution

The fourth proportional to 228,085.70, 341,916.84 and 108,198.90 is: 162,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,085.70 : 341,916.84 = 108,198.90 : x
  2. Step 2: Convert to fraction form
    228,085.70/341,916.84 = 108,198.90/x
  3. Step 3: Cross multiply
    228,085.70x = 341,916.84 × 108,198.90
  4. Step 4: Simplify right side
    228,085.70x = 36,995,025,979.48
  5. Step 5: Solve for x
    x = 36,995,025,979.48/228,085.70
  6. Step 6: Final answer
    x = 162,197.92

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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.