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Finding the Fourth Proportional to 110,452.60, 165,765.30 and 51,295.60

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Solution

The fourth proportional to 110,452.60, 165,765.30 and 51,295.60 is: 76,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,452.60 : 165,765.30 = 51,295.60 : x
  2. Step 2: Convert to fraction form
    110,452.60/165,765.30 = 51,295.60/x
  3. Step 3: Cross multiply
    110,452.60x = 165,765.30 × 51,295.60
  4. Step 4: Simplify right side
    110,452.60x = 8,503,030,522.68
  5. Step 5: Solve for x
    x = 8,503,030,522.68/110,452.60
  6. Step 6: Final answer
    x = 76,983.53

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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.