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Finding the Fourth Proportional to 110,771.16, 165,986.64 and 75,186.24

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Solution

The fourth proportional to 110,771.16, 165,986.64 and 75,186.24 is: 112,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,771.16 : 165,986.64 = 75,186.24 : x
  2. Step 2: Convert to fraction form
    110,771.16/165,986.64 = 75,186.24/x
  3. Step 3: Cross multiply
    110,771.16x = 165,986.64 × 75,186.24
  4. Step 4: Simplify right side
    110,771.16x = 12,479,911,351.83
  5. Step 5: Solve for x
    x = 12,479,911,351.83/110,771.16
  6. Step 6: Final answer
    x = 112,663.90

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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.