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Finding the Fourth Proportional to 135,957.96, 203,936.94 and 42,471

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Solution

The fourth proportional to 135,957.96, 203,936.94 and 42,471 is: 63,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,957.96 : 203,936.94 = 42,471 : x
  2. Step 2: Convert to fraction form
    135,957.96/203,936.94 = 42,471/x
  3. Step 3: Cross multiply
    135,957.96x = 203,936.94 × 42,471
  4. Step 4: Simplify right side
    135,957.96x = 8,661,405,778.74
  5. Step 5: Solve for x
    x = 8,661,405,778.74/135,957.96
  6. Step 6: Final answer
    x = 63,706.50

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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.