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Finding the Fourth Proportional to 224,168.76, 309,348.86 and 122,195.09

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Solution

The fourth proportional to 224,168.76, 309,348.86 and 122,195.09 is: 168,627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,168.76 : 309,348.86 = 122,195.09 : x
  2. Step 2: Convert to fraction form
    224,168.76/309,348.86 = 122,195.09/x
  3. Step 3: Cross multiply
    224,168.76x = 309,348.86 × 122,195.09
  4. Step 4: Simplify right side
    224,168.76x = 37,800,909,631.38
  5. Step 5: Solve for x
    x = 37,800,909,631.38/224,168.76
  6. Step 6: Final answer
    x = 168,627.02

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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.