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Finding the Fourth Proportional to 175,820.94, 263,738.68 and 51,161.94

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Solution

The fourth proportional to 175,820.94, 263,738.68 and 51,161.94 is: 76,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,820.94 : 263,738.68 = 51,161.94 : x
  2. Step 2: Convert to fraction form
    175,820.94/263,738.68 = 51,161.94/x
  3. Step 3: Cross multiply
    175,820.94x = 263,738.68 × 51,161.94
  4. Step 4: Simplify right side
    175,820.94x = 13,493,382,521.84
  5. Step 5: Solve for x
    x = 13,493,382,521.84/175,820.94
  6. Step 6: Final answer
    x = 76,745.03

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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.