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Finding the Fourth Proportional to 179,474.20, 269,189.70 and 74,282.20

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Solution

The fourth proportional to 179,474.20, 269,189.70 and 74,282.20 is: 111,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,474.20 : 269,189.70 = 74,282.20 : x
  2. Step 2: Convert to fraction form
    179,474.20/269,189.70 = 74,282.20/x
  3. Step 3: Cross multiply
    179,474.20x = 269,189.70 × 74,282.20
  4. Step 4: Simplify right side
    179,474.20x = 19,996,003,133.34
  5. Step 5: Solve for x
    x = 19,996,003,133.34/179,474.20
  6. Step 6: Final answer
    x = 111,414.36

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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.