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Finding the Fourth Proportional to 468,667, 703,120.38 and 136,243

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Solution

The fourth proportional to 468,667, 703,120.38 and 136,243 is: 204,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,667 : 703,120.38 = 136,243 : x
  2. Step 2: Convert to fraction form
    468,667/703,120.38 = 136,243/x
  3. Step 3: Cross multiply
    468,667x = 703,120.38 × 136,243
  4. Step 4: Simplify right side
    468,667x = 95,795,229,932.34
  5. Step 5: Solve for x
    x = 95,795,229,932.34/468,667
  6. Step 6: Final answer
    x = 204,399.35

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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.