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Finding the Fourth Proportional to 275,890.78, 413,489.89 and 117,933.49

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Solution

The fourth proportional to 275,890.78, 413,489.89 and 117,933.49 is: 176,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,890.78 : 413,489.89 = 117,933.49 : x
  2. Step 2: Convert to fraction form
    275,890.78/413,489.89 = 117,933.49/x
  3. Step 3: Cross multiply
    275,890.78x = 413,489.89 × 117,933.49
  4. Step 4: Simplify right side
    275,890.78x = 48,764,305,807.42
  5. Step 5: Solve for x
    x = 48,764,305,807.42/275,890.78
  6. Step 6: Final answer
    x = 176,752.21

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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.