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Finding the Fourth Proportional to 120,650.68, 166,517.94 and 66,952.95

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Solution

The fourth proportional to 120,650.68, 166,517.94 and 66,952.95 is: 92,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,650.68 : 166,517.94 = 66,952.95 : x
  2. Step 2: Convert to fraction form
    120,650.68/166,517.94 = 66,952.95/x
  3. Step 3: Cross multiply
    120,650.68x = 166,517.94 × 66,952.95
  4. Step 4: Simplify right side
    120,650.68x = 11,148,866,937.55
  5. Step 5: Solve for x
    x = 11,148,866,937.55/120,650.68
  6. Step 6: Final answer
    x = 92,406.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.