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Finding the Fourth Proportional to 234,553.20, 351,929.43 and 116,226.78

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Solution

The fourth proportional to 234,553.20, 351,929.43 and 116,226.78 is: 174,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,553.20 : 351,929.43 = 116,226.78 : x
  2. Step 2: Convert to fraction form
    234,553.20/351,929.43 = 116,226.78/x
  3. Step 3: Cross multiply
    234,553.20x = 351,929.43 × 116,226.78
  4. Step 4: Simplify right side
    234,553.20x = 40,903,624,436.14
  5. Step 5: Solve for x
    x = 40,903,624,436.14/234,553.20
  6. Step 6: Final answer
    x = 174,389.54

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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.