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Finding the Fourth Proportional to 263,092.86, 362,982.06 and 161,011.87

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Solution

The fourth proportional to 263,092.86, 362,982.06 and 161,011.87 is: 222,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,092.86 : 362,982.06 = 161,011.87 : x
  2. Step 2: Convert to fraction form
    263,092.86/362,982.06 = 161,011.87/x
  3. Step 3: Cross multiply
    263,092.86x = 362,982.06 × 161,011.87
  4. Step 4: Simplify right side
    263,092.86x = 58,444,419,349.60
  5. Step 5: Solve for x
    x = 58,444,419,349.60/263,092.86
  6. Step 6: Final answer
    x = 222,143.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.