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Finding the Fourth Proportional to 207,930.50, 311,840.39 and 58,161.50

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Solution

The fourth proportional to 207,930.50, 311,840.39 and 58,161.50 is: 87,226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.50 : 311,840.39 = 58,161.50 : x
  2. Step 2: Convert to fraction form
    207,930.50/311,840.39 = 58,161.50/x
  3. Step 3: Cross multiply
    207,930.50x = 311,840.39 × 58,161.50
  4. Step 4: Simplify right side
    207,930.50x = 18,137,102,992.98
  5. Step 5: Solve for x
    x = 18,137,102,992.98/207,930.50
  6. Step 6: Final answer
    x = 87,226.76

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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.