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Finding the Fourth Proportional to 173,105, 259,657.50 and 41,777

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Solution

The fourth proportional to 173,105, 259,657.50 and 41,777 is: 62,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,105 : 259,657.50 = 41,777 : x
  2. Step 2: Convert to fraction form
    173,105/259,657.50 = 41,777/x
  3. Step 3: Cross multiply
    173,105x = 259,657.50 × 41,777
  4. Step 4: Simplify right side
    173,105x = 10,847,711,377.50
  5. Step 5: Solve for x
    x = 10,847,711,377.50/173,105
  6. Step 6: Final answer
    x = 62,665.50

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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.