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Finding the Fourth Proportional to 120,126.93, 165,774.24 and 66,414.21

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Solution

The fourth proportional to 120,126.93, 165,774.24 and 66,414.21 is: 91,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,126.93 : 165,774.24 = 66,414.21 : x
  2. Step 2: Convert to fraction form
    120,126.93/165,774.24 = 66,414.21/x
  3. Step 3: Cross multiply
    120,126.93x = 165,774.24 × 66,414.21
  4. Step 4: Simplify right side
    120,126.93x = 11,009,765,187.95
  5. Step 5: Solve for x
    x = 11,009,765,187.95/120,126.93
  6. Step 6: Final answer
    x = 91,651.10

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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.