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Finding the Fourth Proportional to 111,771, 167,656.91 and 106,164.99

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Solution

The fourth proportional to 111,771, 167,656.91 and 106,164.99 is: 159,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,771 : 167,656.91 = 106,164.99 : x
  2. Step 2: Convert to fraction form
    111,771/167,656.91 = 106,164.99/x
  3. Step 3: Cross multiply
    111,771x = 167,656.91 × 106,164.99
  4. Step 4: Simplify right side
    111,771x = 17,799,293,642.76
  5. Step 5: Solve for x
    x = 17,799,293,642.76/111,771
  6. Step 6: Final answer
    x = 159,247.87

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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.