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Finding the Fourth Proportional to 111,772, 167,658.41 and 106,165.99

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Solution

The fourth proportional to 111,772, 167,658.41 and 106,165.99 is: 159,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,772 : 167,658.41 = 106,165.99 : x
  2. Step 2: Convert to fraction form
    111,772/167,658.41 = 106,165.99/x
  3. Step 3: Cross multiply
    111,772x = 167,658.41 × 106,165.99
  4. Step 4: Simplify right side
    111,772x = 17,799,621,079.48
  5. Step 5: Solve for x
    x = 17,799,621,079.48/111,772
  6. Step 6: Final answer
    x = 159,249.37

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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.