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Finding the Fourth Proportional to 170,737.72, 255,896.78 and 120,832

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Solution

The fourth proportional to 170,737.72, 255,896.78 and 120,832 is: 181,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,737.72 : 255,896.78 = 120,832 : x
  2. Step 2: Convert to fraction form
    170,737.72/255,896.78 = 120,832/x
  3. Step 3: Cross multiply
    170,737.72x = 255,896.78 × 120,832
  4. Step 4: Simplify right side
    170,737.72x = 30,920,519,720.96
  5. Step 5: Solve for x
    x = 30,920,519,720.96/170,737.72
  6. Step 6: Final answer
    x = 181,099.52

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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.