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Finding the Fourth Proportional to 120,783.80, 166,664.31 and 67,069.46

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Solution

The fourth proportional to 120,783.80, 166,664.31 and 67,069.46 is: 92,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,783.80 : 166,664.31 = 67,069.46 : x
  2. Step 2: Convert to fraction form
    120,783.80/166,664.31 = 67,069.46/x
  3. Step 3: Cross multiply
    120,783.80x = 166,664.31 × 67,069.46
  4. Step 4: Simplify right side
    120,783.80x = 11,178,085,272.97
  5. Step 5: Solve for x
    x = 11,178,085,272.97/120,783.80
  6. Step 6: Final answer
    x = 92,546.23

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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.