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Finding the Fourth Proportional to 120,330.31, 166,057.14 and 66,616.21

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Solution

The fourth proportional to 120,330.31, 166,057.14 and 66,616.21 is: 91,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,330.31 : 166,057.14 = 66,616.21 : x
  2. Step 2: Convert to fraction form
    120,330.31/166,057.14 = 66,616.21/x
  3. Step 3: Cross multiply
    120,330.31x = 166,057.14 × 66,616.21
  4. Step 4: Simplify right side
    120,330.31x = 11,062,097,310.24
  5. Step 5: Solve for x
    x = 11,062,097,310.24/120,330.31
  6. Step 6: Final answer
    x = 91,931.10

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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.