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Finding the Fourth Proportional to 206,354.24, 308,993.76 and 112,667.84

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Solution

The fourth proportional to 206,354.24, 308,993.76 and 112,667.84 is: 168,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,354.24 : 308,993.76 = 112,667.84 : x
  2. Step 2: Convert to fraction form
    206,354.24/308,993.76 = 112,667.84/x
  3. Step 3: Cross multiply
    206,354.24x = 308,993.76 × 112,667.84
  4. Step 4: Simplify right side
    206,354.24x = 34,813,659,512.68
  5. Step 5: Solve for x
    x = 34,813,659,512.68/206,354.24
  6. Step 6: Final answer
    x = 168,708.23

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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.