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Finding the Fourth Proportional to 135,784.77, 203,628.56 and 47,014.44

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Solution

The fourth proportional to 135,784.77, 203,628.56 and 47,014.44 is: 70,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,784.77 : 203,628.56 = 47,014.44 : x
  2. Step 2: Convert to fraction form
    135,784.77/203,628.56 = 47,014.44/x
  3. Step 3: Cross multiply
    135,784.77x = 203,628.56 × 47,014.44
  4. Step 4: Simplify right side
    135,784.77x = 9,573,482,481.33
  5. Step 5: Solve for x
    x = 9,573,482,481.33/135,784.77
  6. Step 6: Final answer
    x = 70,504.83

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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.