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Finding the Fourth Proportional to 181,196.92, 271,590.31 and 92,262.56

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Solution

The fourth proportional to 181,196.92, 271,590.31 and 92,262.56 is: 138,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,196.92 : 271,590.31 = 92,262.56 : x
  2. Step 2: Convert to fraction form
    181,196.92/271,590.31 = 92,262.56/x
  3. Step 3: Cross multiply
    181,196.92x = 271,590.31 × 92,262.56
  4. Step 4: Simplify right side
    181,196.92x = 25,057,617,271.79
  5. Step 5: Solve for x
    x = 25,057,617,271.79/181,196.92
  6. Step 6: Final answer
    x = 138,289.42

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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.