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Finding the Fourth Proportional to 204,781.86, 282,431.79 and 171,949.50

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Solution

The fourth proportional to 204,781.86, 282,431.79 and 171,949.50 is: 237,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,781.86 : 282,431.79 = 171,949.50 : x
  2. Step 2: Convert to fraction form
    204,781.86/282,431.79 = 171,949.50/x
  3. Step 3: Cross multiply
    204,781.86x = 282,431.79 × 171,949.50
  4. Step 4: Simplify right side
    204,781.86x = 48,564,005,074.61
  5. Step 5: Solve for x
    x = 48,564,005,074.61/204,781.86
  6. Step 6: Final answer
    x = 237,149.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.