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Finding the Fourth Proportional to 120,766.75, 166,663.32 and 67,051.77

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Solution

The fourth proportional to 120,766.75, 166,663.32 and 67,051.77 is: 92,534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,766.75 : 166,663.32 = 67,051.77 : x
  2. Step 2: Convert to fraction form
    120,766.75/166,663.32 = 67,051.77/x
  3. Step 3: Cross multiply
    120,766.75x = 166,663.32 × 67,051.77
  4. Step 4: Simplify right side
    120,766.75x = 11,175,071,016.73
  5. Step 5: Solve for x
    x = 11,175,071,016.73/120,766.75
  6. Step 6: Final answer
    x = 92,534.34

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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.