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Finding the Fourth Proportional to 111,249.68, 166,896.30 and 48,920

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Solution

The fourth proportional to 111,249.68, 166,896.30 and 48,920 is: 73,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,249.68 : 166,896.30 = 48,920 : x
  2. Step 2: Convert to fraction form
    111,249.68/166,896.30 = 48,920/x
  3. Step 3: Cross multiply
    111,249.68x = 166,896.30 × 48,920
  4. Step 4: Simplify right side
    111,249.68x = 8,164,566,996.00
  5. Step 5: Solve for x
    x = 8,164,566,996.00/111,249.68
  6. Step 6: Final answer
    x = 73,389.58

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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.