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Finding the Fourth Proportional to 179,634.40, 269,743.20 and 100,902.40

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Solution

The fourth proportional to 179,634.40, 269,743.20 and 100,902.40 is: 151,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,634.40 : 269,743.20 = 100,902.40 : x
  2. Step 2: Convert to fraction form
    179,634.40/269,743.20 = 100,902.40/x
  3. Step 3: Cross multiply
    179,634.40x = 269,743.20 × 100,902.40
  4. Step 4: Simplify right side
    179,634.40x = 27,217,736,263.68
  5. Step 5: Solve for x
    x = 27,217,736,263.68/179,634.40
  6. Step 6: Final answer
    x = 151,517.39

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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.