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Finding the Fourth Proportional to 192,751.74, 289,125.86 and 150,667.20

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Solution

The fourth proportional to 192,751.74, 289,125.86 and 150,667.20 is: 225,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,751.74 : 289,125.86 = 150,667.20 : x
  2. Step 2: Convert to fraction form
    192,751.74/289,125.86 = 150,667.20/x
  3. Step 3: Cross multiply
    192,751.74x = 289,125.86 × 150,667.20
  4. Step 4: Simplify right side
    192,751.74x = 43,561,783,773.79
  5. Step 5: Solve for x
    x = 43,561,783,773.79/192,751.74
  6. Step 6: Final answer
    x = 225,999.43

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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.