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Finding the Fourth Proportional to 187,667.78, 280,795.40 and 131,617.30

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Solution

The fourth proportional to 187,667.78, 280,795.40 and 131,617.30 is: 196,930.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,667.78 : 280,795.40 = 131,617.30 : x
  2. Step 2: Convert to fraction form
    187,667.78/280,795.40 = 131,617.30/x
  3. Step 3: Cross multiply
    187,667.78x = 280,795.40 × 131,617.30
  4. Step 4: Simplify right side
    187,667.78x = 36,957,532,400.42
  5. Step 5: Solve for x
    x = 36,957,532,400.42/187,667.78
  6. Step 6: Final answer
    x = 196,930.62

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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.