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Finding the Fourth Proportional to 207,953.80, 311,493.30 and 172,961.80

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Solution

The fourth proportional to 207,953.80, 311,493.30 and 172,961.80 is: 259,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,953.80 : 311,493.30 = 172,961.80 : x
  2. Step 2: Convert to fraction form
    207,953.80/311,493.30 = 172,961.80/x
  3. Step 3: Cross multiply
    207,953.80x = 311,493.30 × 172,961.80
  4. Step 4: Simplify right side
    207,953.80x = 53,876,441,855.94
  5. Step 5: Solve for x
    x = 53,876,441,855.94/207,953.80
  6. Step 6: Final answer
    x = 259,078.90

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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.