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Finding the Fourth Proportional to 135,786.27, 203,630.81 and 47,015.94

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Solution

The fourth proportional to 135,786.27, 203,630.81 and 47,015.94 is: 70,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,786.27 : 203,630.81 = 47,015.94 : x
  2. Step 2: Convert to fraction form
    135,786.27/203,630.81 = 47,015.94/x
  3. Step 3: Cross multiply
    135,786.27x = 203,630.81 × 47,015.94
  4. Step 4: Simplify right side
    135,786.27x = 9,573,893,710.03
  5. Step 5: Solve for x
    x = 9,573,893,710.03/135,786.27
  6. Step 6: Final answer
    x = 70,507.08

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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.