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Finding the Fourth Proportional to 234,257.67, 323,275.76 and 126,827.78

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Solution

The fourth proportional to 234,257.67, 323,275.76 and 126,827.78 is: 175,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,257.67 : 323,275.76 = 126,827.78 : x
  2. Step 2: Convert to fraction form
    234,257.67/323,275.76 = 126,827.78/x
  3. Step 3: Cross multiply
    234,257.67x = 323,275.76 × 126,827.78
  4. Step 4: Simplify right side
    234,257.67x = 41,000,345,193.70
  5. Step 5: Solve for x
    x = 41,000,345,193.70/234,257.67
  6. Step 6: Final answer
    x = 175,022.42

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1.5x scale

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.