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Finding the Fourth Proportional to 178,991.49, 268,487.13 and 52,632.78

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Solution

The fourth proportional to 178,991.49, 268,487.13 and 52,632.78 is: 78,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,991.49 : 268,487.13 = 52,632.78 : x
  2. Step 2: Convert to fraction form
    178,991.49/268,487.13 = 52,632.78/x
  3. Step 3: Cross multiply
    178,991.49x = 268,487.13 × 52,632.78
  4. Step 4: Simplify right side
    178,991.49x = 14,131,224,046.12
  5. Step 5: Solve for x
    x = 14,131,224,046.12/178,991.49
  6. Step 6: Final answer
    x = 78,949.14

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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.