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Finding the Fourth Proportional to 111,920.40, 167,910.30 and 48,713.40

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Solution

The fourth proportional to 111,920.40, 167,910.30 and 48,713.40 is: 73,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,920.40 : 167,910.30 = 48,713.40 : x
  2. Step 2: Convert to fraction form
    111,920.40/167,910.30 = 48,713.40/x
  3. Step 3: Cross multiply
    111,920.40x = 167,910.30 × 48,713.40
  4. Step 4: Simplify right side
    111,920.40x = 8,179,481,608.02
  5. Step 5: Solve for x
    x = 8,179,481,608.02/111,920.40
  6. Step 6: Final answer
    x = 73,083.03

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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.