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Finding the Fourth Proportional to 120,141, 165,788.10 and 66,422.88

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Solution

The fourth proportional to 120,141, 165,788.10 and 66,422.88 is: 91,659.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,141 : 165,788.10 = 66,422.88 : x
  2. Step 2: Convert to fraction form
    120,141/165,788.10 = 66,422.88/x
  3. Step 3: Cross multiply
    120,141x = 165,788.10 × 66,422.88
  4. Step 4: Simplify right side
    120,141x = 11,012,123,071.73
  5. Step 5: Solve for x
    x = 11,012,123,071.73/120,141
  6. Step 6: Final answer
    x = 91,659.99

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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.