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Finding the Fourth Proportional to 120,164.80, 179,869.28 and 82,504.48

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Solution

The fourth proportional to 120,164.80, 179,869.28 and 82,504.48 is: 123,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,164.80 : 179,869.28 = 82,504.48 : x
  2. Step 2: Convert to fraction form
    120,164.80/179,869.28 = 82,504.48/x
  3. Step 3: Cross multiply
    120,164.80x = 179,869.28 × 82,504.48
  4. Step 4: Simplify right side
    120,164.80x = 14,840,021,414.37
  5. Step 5: Solve for x
    x = 14,840,021,414.37/120,164.80
  6. Step 6: Final answer
    x = 123,497.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.