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Finding the Fourth Proportional to 181,004.64, 271,493.29 and 74,359.54

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Solution

The fourth proportional to 181,004.64, 271,493.29 and 74,359.54 is: 111,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,004.64 : 271,493.29 = 74,359.54 : x
  2. Step 2: Convert to fraction form
    181,004.64/271,493.29 = 74,359.54/x
  3. Step 3: Cross multiply
    181,004.64x = 271,493.29 × 74,359.54
  4. Step 4: Simplify right side
    181,004.64x = 20,188,115,292.85
  5. Step 5: Solve for x
    x = 20,188,115,292.85/181,004.64
  6. Step 6: Final answer
    x = 111,533.69

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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.