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Finding the Fourth Proportional to 181,201.92, 271,409.28 and 110,868.48

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Solution

The fourth proportional to 181,201.92, 271,409.28 and 110,868.48 is: 166,061.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,201.92 : 271,409.28 = 110,868.48 : x
  2. Step 2: Convert to fraction form
    181,201.92/271,409.28 = 110,868.48/x
  3. Step 3: Cross multiply
    181,201.92x = 271,409.28 × 110,868.48
  4. Step 4: Simplify right side
    181,201.92x = 30,090,734,331.49
  5. Step 5: Solve for x
    x = 30,090,734,331.49/181,201.92
  6. Step 6: Final answer
    x = 166,061.90

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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.