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Finding the Fourth Proportional to 100,155.24, 150,237.72 and 82,593

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Solution

The fourth proportional to 100,155.24, 150,237.72 and 82,593 is: 123,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,155.24 : 150,237.72 = 82,593 : x
  2. Step 2: Convert to fraction form
    100,155.24/150,237.72 = 82,593/x
  3. Step 3: Cross multiply
    100,155.24x = 150,237.72 × 82,593
  4. Step 4: Simplify right side
    100,155.24x = 12,408,584,007.96
  5. Step 5: Solve for x
    x = 12,408,584,007.96/100,155.24
  6. Step 6: Final answer
    x = 123,893.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.