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Finding the Fourth Proportional to 175,745.14, 263,625 and 51,086.14

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Solution

The fourth proportional to 175,745.14, 263,625 and 51,086.14 is: 76,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,745.14 : 263,625 = 51,086.14 : x
  2. Step 2: Convert to fraction form
    175,745.14/263,625 = 51,086.14/x
  3. Step 3: Cross multiply
    175,745.14x = 263,625 × 51,086.14
  4. Step 4: Simplify right side
    175,745.14x = 13,467,583,657.50
  5. Step 5: Solve for x
    x = 13,467,583,657.50/175,745.14
  6. Step 6: Final answer
    x = 76,631.33

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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.