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Finding the Fourth Proportional to 120,193.48, 165,847.19 and 66,468

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Solution

The fourth proportional to 120,193.48, 165,847.19 and 66,468 is: 91,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193.48 : 165,847.19 = 66,468 : x
  2. Step 2: Convert to fraction form
    120,193.48/165,847.19 = 66,468/x
  3. Step 3: Cross multiply
    120,193.48x = 165,847.19 × 66,468
  4. Step 4: Simplify right side
    120,193.48x = 11,023,530,692.58
  5. Step 5: Solve for x
    x = 11,023,530,692.58/120,193.48
  6. Step 6: Final answer
    x = 91,714.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.