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Finding the Fourth Proportional to 207,896.63, 311,842.22 and 50,123.82

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Solution

The fourth proportional to 207,896.63, 311,842.22 and 50,123.82 is: 75,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,896.63 : 311,842.22 = 50,123.82 : x
  2. Step 2: Convert to fraction form
    207,896.63/311,842.22 = 50,123.82/x
  3. Step 3: Cross multiply
    207,896.63x = 311,842.22 × 50,123.82
  4. Step 4: Simplify right side
    207,896.63x = 15,630,723,053.06
  5. Step 5: Solve for x
    x = 15,630,723,053.06/207,896.63
  6. Step 6: Final answer
    x = 75,185.07

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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.