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Finding the Fourth Proportional to 111,919.85, 167,774.24 and 55,706.81

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Solution

The fourth proportional to 111,919.85, 167,774.24 and 55,706.81 is: 83,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,919.85 : 167,774.24 = 55,706.81 : x
  2. Step 2: Convert to fraction form
    111,919.85/167,774.24 = 55,706.81/x
  3. Step 3: Cross multiply
    111,919.85x = 167,774.24 × 55,706.81
  4. Step 4: Simplify right side
    111,919.85x = 9,346,166,593.17
  5. Step 5: Solve for x
    x = 9,346,166,593.17/111,919.85
  6. Step 6: Final answer
    x = 83,507.68

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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.