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Finding the Fourth Proportional to 120,551.82, 166,354.20 and 66,833.61

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Solution

The fourth proportional to 120,551.82, 166,354.20 and 66,833.61 is: 92,226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,551.82 : 166,354.20 = 66,833.61 : x
  2. Step 2: Convert to fraction form
    120,551.82/166,354.20 = 66,833.61/x
  3. Step 3: Cross multiply
    120,551.82x = 166,354.20 × 66,833.61
  4. Step 4: Simplify right side
    120,551.82x = 11,118,051,724.66
  5. Step 5: Solve for x
    x = 11,118,051,724.66/120,551.82
  6. Step 6: Final answer
    x = 92,226.33

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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.