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Finding the Fourth Proportional to 120,135.14, 165,787.52 and 66,422.42

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Solution

The fourth proportional to 120,135.14, 165,787.52 and 66,422.42 is: 91,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,135.14 : 165,787.52 = 66,422.42 : x
  2. Step 2: Convert to fraction form
    120,135.14/165,787.52 = 66,422.42/x
  3. Step 3: Cross multiply
    120,135.14x = 165,787.52 × 66,422.42
  4. Step 4: Simplify right side
    120,135.14x = 11,012,008,284.20
  5. Step 5: Solve for x
    x = 11,012,008,284.20/120,135.14
  6. Step 6: Final answer
    x = 91,663.51

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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.