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Finding the Fourth Proportional to 110,514.58, 165,771.72 and 51,317.88

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Solution

The fourth proportional to 110,514.58, 165,771.72 and 51,317.88 is: 76,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,514.58 : 165,771.72 = 51,317.88 : x
  2. Step 2: Convert to fraction form
    110,514.58/165,771.72 = 51,317.88/x
  3. Step 3: Cross multiply
    110,514.58x = 165,771.72 × 51,317.88
  4. Step 4: Simplify right side
    110,514.58x = 8,507,053,234.35
  5. Step 5: Solve for x
    x = 8,507,053,234.35/110,514.58
  6. Step 6: Final answer
    x = 76,976.75

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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.