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Finding the Fourth Proportional to 135,854.52, 203,716.23 and 56,947.56

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Solution

The fourth proportional to 135,854.52, 203,716.23 and 56,947.56 is: 85,393.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,854.52 : 203,716.23 = 56,947.56 : x
  2. Step 2: Convert to fraction form
    135,854.52/203,716.23 = 56,947.56/x
  3. Step 3: Cross multiply
    135,854.52x = 203,716.23 × 56,947.56
  4. Step 4: Simplify right side
    135,854.52x = 11,601,142,230.90
  5. Step 5: Solve for x
    x = 11,601,142,230.90/135,854.52
  6. Step 6: Final answer
    x = 85,393.86

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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.