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Finding the Fourth Proportional to 275,163.86, 412,745.88 and 181,647.74

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Solution

The fourth proportional to 275,163.86, 412,745.88 and 181,647.74 is: 272,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,163.86 : 412,745.88 = 181,647.74 : x
  2. Step 2: Convert to fraction form
    275,163.86/412,745.88 = 181,647.74/x
  3. Step 3: Cross multiply
    275,163.86x = 412,745.88 × 181,647.74
  4. Step 4: Simplify right side
    275,163.86x = 74,974,356,296.31
  5. Step 5: Solve for x
    x = 74,974,356,296.31/275,163.86
  6. Step 6: Final answer
    x = 272,471.67

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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.