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Finding the Fourth Proportional to 101,736.92, 152,408.58 and 57,228.44

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Solution

The fourth proportional to 101,736.92, 152,408.58 and 57,228.44 is: 85,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,736.92 : 152,408.58 = 57,228.44 : x
  2. Step 2: Convert to fraction form
    101,736.92/152,408.58 = 57,228.44/x
  3. Step 3: Cross multiply
    101,736.92x = 152,408.58 × 57,228.44
  4. Step 4: Simplify right side
    101,736.92x = 8,722,105,276.02
  5. Step 5: Solve for x
    x = 8,722,105,276.02/101,736.92
  6. Step 6: Final answer
    x = 85,731.96

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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.