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Finding the Fourth Proportional to 181,156.96, 271,631.76 and 75,887.20

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Solution

The fourth proportional to 181,156.96, 271,631.76 and 75,887.20 is: 113,787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,156.96 : 271,631.76 = 75,887.20 : x
  2. Step 2: Convert to fraction form
    181,156.96/271,631.76 = 75,887.20/x
  3. Step 3: Cross multiply
    181,156.96x = 271,631.76 × 75,887.20
  4. Step 4: Simplify right side
    181,156.96x = 20,613,373,697.47
  5. Step 5: Solve for x
    x = 20,613,373,697.47/181,156.96
  6. Step 6: Final answer
    x = 113,787.37

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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.