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Finding the Fourth Proportional to 275,163.24, 412,611.51 and 161,342.16

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Solution

The fourth proportional to 275,163.24, 412,611.51 and 161,342.16 is: 241,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,163.24 : 412,611.51 = 161,342.16 : x
  2. Step 2: Convert to fraction form
    275,163.24/412,611.51 = 161,342.16/x
  3. Step 3: Cross multiply
    275,163.24x = 412,611.51 × 161,342.16
  4. Step 4: Simplify right side
    275,163.24x = 66,571,632,264.26
  5. Step 5: Solve for x
    x = 66,571,632,264.26/275,163.24
  6. Step 6: Final answer
    x = 241,935.05

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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.