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Finding the Fourth Proportional to 207,940.41, 311,930.25 and 58,180.71

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Solution

The fourth proportional to 207,940.41, 311,930.25 and 58,180.71 is: 87,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,940.41 : 311,930.25 = 58,180.71 : x
  2. Step 2: Convert to fraction form
    207,940.41/311,930.25 = 58,180.71/x
  3. Step 3: Cross multiply
    207,940.41x = 311,930.25 × 58,180.71
  4. Step 4: Simplify right side
    207,940.41x = 18,148,323,415.48
  5. Step 5: Solve for x
    x = 18,148,323,415.48/207,940.41
  6. Step 6: Final answer
    x = 87,276.56

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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.