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Finding the Fourth Proportional to 224,280.35, 309,514.35 and 122,311.38

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Solution

The fourth proportional to 224,280.35, 309,514.35 and 122,311.38 is: 168,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,280.35 : 309,514.35 = 122,311.38 : x
  2. Step 2: Convert to fraction form
    224,280.35/309,514.35 = 122,311.38/x
  3. Step 3: Cross multiply
    224,280.35x = 309,514.35 × 122,311.38
  4. Step 4: Simplify right side
    224,280.35x = 37,857,125,730.73
  5. Step 5: Solve for x
    x = 37,857,125,730.73/224,280.35
  6. Step 6: Final answer
    x = 168,793.77

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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.