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Finding the Fourth Proportional to 120,677.68, 166,537.86 and 66,961

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Solution

The fourth proportional to 120,677.68, 166,537.86 and 66,961 is: 92,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,677.68 : 166,537.86 = 66,961 : x
  2. Step 2: Convert to fraction form
    120,677.68/166,537.86 = 66,961/x
  3. Step 3: Cross multiply
    120,677.68x = 166,537.86 × 66,961
  4. Step 4: Simplify right side
    120,677.68x = 11,151,541,643.46
  5. Step 5: Solve for x
    x = 11,151,541,643.46/120,677.68
  6. Step 6: Final answer
    x = 92,407.66

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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.