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Finding the Fourth Proportional to 120,149.64, 165,799.38 and 66,430.44

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Solution

The fourth proportional to 120,149.64, 165,799.38 and 66,430.44 is: 91,670.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,149.64 : 165,799.38 = 66,430.44 : x
  2. Step 2: Convert to fraction form
    120,149.64/165,799.38 = 66,430.44/x
  3. Step 3: Cross multiply
    120,149.64x = 165,799.38 × 66,430.44
  4. Step 4: Simplify right side
    120,149.64x = 11,014,125,765.13
  5. Step 5: Solve for x
    x = 11,014,125,765.13/120,149.64
  6. Step 6: Final answer
    x = 91,670.07

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