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Finding the Fourth Proportional to 172,694.50, 259,029.86 and 106,144.90

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Solution

The fourth proportional to 172,694.50, 259,029.86 and 106,144.90 is: 159,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,694.50 : 259,029.86 = 106,144.90 : x
  2. Step 2: Convert to fraction form
    172,694.50/259,029.86 = 106,144.90/x
  3. Step 3: Cross multiply
    172,694.50x = 259,029.86 × 106,144.90
  4. Step 4: Simplify right side
    172,694.50x = 27,494,698,586.71
  5. Step 5: Solve for x
    x = 27,494,698,586.71/172,694.50
  6. Step 6: Final answer
    x = 159,210.04

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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.