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Finding the Fourth Proportional to 234,222.53, 323,224.88 and 126,789.80

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Solution

The fourth proportional to 234,222.53, 323,224.88 and 126,789.80 is: 174,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,222.53 : 323,224.88 = 126,789.80 : x
  2. Step 2: Convert to fraction form
    234,222.53/323,224.88 = 126,789.80/x
  3. Step 3: Cross multiply
    234,222.53x = 323,224.88 × 126,789.80
  4. Step 4: Simplify right side
    234,222.53x = 40,981,615,640.15
  5. Step 5: Solve for x
    x = 40,981,615,640.15/234,222.53
  6. Step 6: Final answer
    x = 174,968.72

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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.