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Finding the Fourth Proportional to 212,716.49, 319,050.03 and 54,932.54

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Solution

The fourth proportional to 212,716.49, 319,050.03 and 54,932.54 is: 82,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,716.49 : 319,050.03 = 54,932.54 : x
  2. Step 2: Convert to fraction form
    212,716.49/319,050.03 = 54,932.54/x
  3. Step 3: Cross multiply
    212,716.49x = 319,050.03 × 54,932.54
  4. Step 4: Simplify right side
    212,716.49x = 17,526,228,534.98
  5. Step 5: Solve for x
    x = 17,526,228,534.98/212,716.49
  6. Step 6: Final answer
    x = 82,392.43

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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.