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Finding the Fourth Proportional to 120,146.64, 165,795.24 and 66,427.44

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Solution

The fourth proportional to 120,146.64, 165,795.24 and 66,427.44 is: 91,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,146.64 : 165,795.24 = 66,427.44 : x
  2. Step 2: Convert to fraction form
    120,146.64/165,795.24 = 66,427.44/x
  3. Step 3: Cross multiply
    120,146.64x = 165,795.24 × 66,427.44
  4. Step 4: Simplify right side
    120,146.64x = 11,013,353,357.39
  5. Step 5: Solve for x
    x = 11,013,353,357.39/120,146.64
  6. Step 6: Final answer
    x = 91,665.93

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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.