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Finding the Fourth Proportional to 275,821.50, 413,732.27 and 88,833

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Solution

The fourth proportional to 275,821.50, 413,732.27 and 88,833 is: 133,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,821.50 : 413,732.27 = 88,833 : x
  2. Step 2: Convert to fraction form
    275,821.50/413,732.27 = 88,833/x
  3. Step 3: Cross multiply
    275,821.50x = 413,732.27 × 88,833
  4. Step 4: Simplify right side
    275,821.50x = 36,753,078,962.99
  5. Step 5: Solve for x
    x = 36,753,078,962.99/275,821.50
  6. Step 6: Final answer
    x = 133,249.51

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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.