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Finding the Fourth Proportional to 181,154.52, 271,644.36 and 75,945.24

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Solution

The fourth proportional to 181,154.52, 271,644.36 and 75,945.24 is: 113,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,154.52 : 271,644.36 = 75,945.24 : x
  2. Step 2: Convert to fraction form
    181,154.52/271,644.36 = 75,945.24/x
  3. Step 3: Cross multiply
    181,154.52x = 271,644.36 × 75,945.24
  4. Step 4: Simplify right side
    181,154.52x = 20,630,096,114.85
  5. Step 5: Solve for x
    x = 20,630,096,114.85/181,154.52
  6. Step 6: Final answer
    x = 113,881.21

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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.