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Finding the Fourth Proportional to 212,954.92, 319,640.13 and 175,892.56

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Solution

The fourth proportional to 212,954.92, 319,640.13 and 175,892.56 is: 264,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954.92 : 319,640.13 = 175,892.56 : x
  2. Step 2: Convert to fraction form
    212,954.92/319,640.13 = 175,892.56/x
  3. Step 3: Cross multiply
    212,954.92x = 319,640.13 × 175,892.56
  4. Step 4: Simplify right side
    212,954.92x = 56,222,320,744.43
  5. Step 5: Solve for x
    x = 56,222,320,744.43/212,954.92
  6. Step 6: Final answer
    x = 264,010.43

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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.