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Finding the Fourth Proportional to 172,846.89, 259,099.83 and 82,785.60

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Solution

The fourth proportional to 172,846.89, 259,099.83 and 82,785.60 is: 124,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,846.89 : 259,099.83 = 82,785.60 : x
  2. Step 2: Convert to fraction form
    172,846.89/259,099.83 = 82,785.60/x
  3. Step 3: Cross multiply
    172,846.89x = 259,099.83 × 82,785.60
  4. Step 4: Simplify right side
    172,846.89x = 21,449,734,886.45
  5. Step 5: Solve for x
    x = 21,449,734,886.45/172,846.89
  6. Step 6: Final answer
    x = 124,096.74

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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.