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Finding the Fourth Proportional to 133,687.80, 200,514.42 and 50,571

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Solution

The fourth proportional to 133,687.80, 200,514.42 and 50,571 is: 75,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,687.80 : 200,514.42 = 50,571 : x
  2. Step 2: Convert to fraction form
    133,687.80/200,514.42 = 50,571/x
  3. Step 3: Cross multiply
    133,687.80x = 200,514.42 × 50,571
  4. Step 4: Simplify right side
    133,687.80x = 10,140,214,733.82
  5. Step 5: Solve for x
    x = 10,140,214,733.82/133,687.80
  6. Step 6: Final answer
    x = 75,849.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.