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Finding the Fourth Proportional to 135,905.94, 203,778.15 and 51,672.27

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Solution

The fourth proportional to 135,905.94, 203,778.15 and 51,672.27 is: 77,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,905.94 : 203,778.15 = 51,672.27 : x
  2. Step 2: Convert to fraction form
    135,905.94/203,778.15 = 51,672.27/x
  3. Step 3: Cross multiply
    135,905.94x = 203,778.15 × 51,672.27
  4. Step 4: Simplify right side
    135,905.94x = 10,529,678,833.48
  5. Step 5: Solve for x
    x = 10,529,678,833.48/135,905.94
  6. Step 6: Final answer
    x = 77,477.69

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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.