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Finding the Fourth Proportional to 168,142.68, 252,250.92 and 49,823.28

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Solution

The fourth proportional to 168,142.68, 252,250.92 and 49,823.28 is: 74,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,142.68 : 252,250.92 = 49,823.28 : x
  2. Step 2: Convert to fraction form
    168,142.68/252,250.92 = 49,823.28/x
  3. Step 3: Cross multiply
    168,142.68x = 252,250.92 × 49,823.28
  4. Step 4: Simplify right side
    168,142.68x = 12,567,968,217.42
  5. Step 5: Solve for x
    x = 12,567,968,217.42/168,142.68
  6. Step 6: Final answer
    x = 74,745.85

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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.