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Finding the Fourth Proportional to 182,736, 274,144.32 and 77,644.80

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Solution

The fourth proportional to 182,736, 274,144.32 and 77,644.80 is: 116,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,736 : 274,144.32 = 77,644.80 : x
  2. Step 2: Convert to fraction form
    182,736/274,144.32 = 77,644.80/x
  3. Step 3: Cross multiply
    182,736x = 274,144.32 × 77,644.80
  4. Step 4: Simplify right side
    182,736x = 21,285,880,897.54
  5. Step 5: Solve for x
    x = 21,285,880,897.54/182,736
  6. Step 6: Final answer
    x = 116,484.33

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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.