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Finding the Fourth Proportional to 222,097.40, 332,927.40 and 109,794.95

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Solution

The fourth proportional to 222,097.40, 332,927.40 and 109,794.95 is: 164,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,097.40 : 332,927.40 = 109,794.95 : x
  2. Step 2: Convert to fraction form
    222,097.40/332,927.40 = 109,794.95/x
  3. Step 3: Cross multiply
    222,097.40x = 332,927.40 × 109,794.95
  4. Step 4: Simplify right side
    222,097.40x = 36,553,747,236.63
  5. Step 5: Solve for x
    x = 36,553,747,236.63/222,097.40
  6. Step 6: Final answer
    x = 164,584.31

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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.