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Finding the Fourth Proportional to 193,163.40, 289,745.10 and 183,321.90

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Solution

The fourth proportional to 193,163.40, 289,745.10 and 183,321.90 is: 274,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,163.40 : 289,745.10 = 183,321.90 : x
  2. Step 2: Convert to fraction form
    193,163.40/289,745.10 = 183,321.90/x
  3. Step 3: Cross multiply
    193,163.40x = 289,745.10 × 183,321.90
  4. Step 4: Simplify right side
    193,163.40x = 53,116,622,247.69
  5. Step 5: Solve for x
    x = 53,116,622,247.69/193,163.40
  6. Step 6: Final answer
    x = 274,982.85

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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.