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Finding the Fourth Proportional to 111,983.40, 167,975.10 and 111,205.80

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Solution

The fourth proportional to 111,983.40, 167,975.10 and 111,205.80 is: 166,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,983.40 : 167,975.10 = 111,205.80 : x
  2. Step 2: Convert to fraction form
    111,983.40/167,975.10 = 111,205.80/x
  3. Step 3: Cross multiply
    111,983.40x = 167,975.10 × 111,205.80
  4. Step 4: Simplify right side
    111,983.40x = 18,679,805,375.58
  5. Step 5: Solve for x
    x = 18,679,805,375.58/111,983.40
  6. Step 6: Final answer
    x = 166,808.70

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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.