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Finding the Fourth Proportional to 268,140.36, 401,745.96 and 162,738.48

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Solution

The fourth proportional to 268,140.36, 401,745.96 and 162,738.48 is: 243,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,140.36 : 401,745.96 = 162,738.48 : x
  2. Step 2: Convert to fraction form
    268,140.36/401,745.96 = 162,738.48/x
  3. Step 3: Cross multiply
    268,140.36x = 401,745.96 × 162,738.48
  4. Step 4: Simplify right side
    268,140.36x = 65,379,526,876.54
  5. Step 5: Solve for x
    x = 65,379,526,876.54/268,140.36
  6. Step 6: Final answer
    x = 243,825.76

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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.