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Finding the Fourth Proportional to 110,357.82, 165,512.10 and 51,185.82

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Solution

The fourth proportional to 110,357.82, 165,512.10 and 51,185.82 is: 76,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,357.82 : 165,512.10 = 51,185.82 : x
  2. Step 2: Convert to fraction form
    110,357.82/165,512.10 = 51,185.82/x
  3. Step 3: Cross multiply
    110,357.82x = 165,512.10 × 51,185.82
  4. Step 4: Simplify right side
    110,357.82x = 8,471,872,558.42
  5. Step 5: Solve for x
    x = 8,471,872,558.42/110,357.82
  6. Step 6: Final answer
    x = 76,767.31

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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.