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Finding the Fourth Proportional to 135,896.94, 203,814.43 and 51,666.46

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Solution

The fourth proportional to 135,896.94, 203,814.43 and 51,666.46 is: 77,487.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,896.94 : 203,814.43 = 51,666.46 : x
  2. Step 2: Convert to fraction form
    135,896.94/203,814.43 = 51,666.46/x
  3. Step 3: Cross multiply
    135,896.94x = 203,814.43 × 51,666.46
  4. Step 4: Simplify right side
    135,896.94x = 10,530,369,456.32
  5. Step 5: Solve for x
    x = 10,530,369,456.32/135,896.94
  6. Step 6: Final answer
    x = 77,487.91

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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.