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Finding the Fourth Proportional to 365,168.25, 547,745.09 and 165,451.41

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Solution

The fourth proportional to 365,168.25, 547,745.09 and 165,451.41 is: 248,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,168.25 : 547,745.09 = 165,451.41 : x
  2. Step 2: Convert to fraction form
    365,168.25/547,745.09 = 165,451.41/x
  3. Step 3: Cross multiply
    365,168.25x = 547,745.09 × 165,451.41
  4. Step 4: Simplify right side
    365,168.25x = 90,625,196,633.82
  5. Step 5: Solve for x
    x = 90,625,196,633.82/365,168.25
  6. Step 6: Final answer
    x = 248,173.81

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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.