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Finding the Fourth Proportional to 110,380.52, 165,455.52 and 51,167.36

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Solution

The fourth proportional to 110,380.52, 165,455.52 and 51,167.36 is: 76,697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,380.52 : 165,455.52 = 51,167.36 : x
  2. Step 2: Convert to fraction form
    110,380.52/165,455.52 = 51,167.36/x
  3. Step 3: Cross multiply
    110,380.52x = 165,455.52 × 51,167.36
  4. Step 4: Simplify right side
    110,380.52x = 8,465,922,155.83
  5. Step 5: Solve for x
    x = 8,465,922,155.83/110,380.52
  6. Step 6: Final answer
    x = 76,697.61

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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.