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Finding the Fourth Proportional to 172,851.75, 259,277.64 and 41,523.75

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Solution

The fourth proportional to 172,851.75, 259,277.64 and 41,523.75 is: 62,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,851.75 : 259,277.64 = 41,523.75 : x
  2. Step 2: Convert to fraction form
    172,851.75/259,277.64 = 41,523.75/x
  3. Step 3: Cross multiply
    172,851.75x = 259,277.64 × 41,523.75
  4. Step 4: Simplify right side
    172,851.75x = 10,766,179,903.95
  5. Step 5: Solve for x
    x = 10,766,179,903.95/172,851.75
  6. Step 6: Final answer
    x = 62,285.63

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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.