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Finding the Fourth Proportional to 173,006, 259,509.24 and 41,678

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Solution

The fourth proportional to 173,006, 259,509.24 and 41,678 is: 62,517.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,006 : 259,509.24 = 41,678 : x
  2. Step 2: Convert to fraction form
    173,006/259,509.24 = 41,678/x
  3. Step 3: Cross multiply
    173,006x = 259,509.24 × 41,678
  4. Step 4: Simplify right side
    173,006x = 10,815,826,104.72
  5. Step 5: Solve for x
    x = 10,815,826,104.72/173,006
  6. Step 6: Final answer
    x = 62,517.06

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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.