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Finding the Fourth Proportional to 110,515.58, 165,773.22 and 51,318.88

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Solution

The fourth proportional to 110,515.58, 165,773.22 and 51,318.88 is: 76,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,515.58 : 165,773.22 = 51,318.88 : x
  2. Step 2: Convert to fraction form
    110,515.58/165,773.22 = 51,318.88/x
  3. Step 3: Cross multiply
    110,515.58x = 165,773.22 × 51,318.88
  4. Step 4: Simplify right side
    110,515.58x = 8,507,295,984.39
  5. Step 5: Solve for x
    x = 8,507,295,984.39/110,515.58
  6. Step 6: Final answer
    x = 76,978.25

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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.