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Finding the Fourth Proportional to 111,909.59, 167,714.65 and 54,896.33

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Solution

The fourth proportional to 111,909.59, 167,714.65 and 54,896.33 is: 82,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,909.59 : 167,714.65 = 54,896.33 : x
  2. Step 2: Convert to fraction form
    111,909.59/167,714.65 = 54,896.33/x
  3. Step 3: Cross multiply
    111,909.59x = 167,714.65 × 54,896.33
  4. Step 4: Simplify right side
    111,909.59x = 9,206,917,796.42
  5. Step 5: Solve for x
    x = 9,206,917,796.42/111,909.59
  6. Step 6: Final answer
    x = 82,271.04

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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.