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Finding the Fourth Proportional to 219,375.84, 329,022.14 and 106,942.98

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Solution

The fourth proportional to 219,375.84, 329,022.14 and 106,942.98 is: 160,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,375.84 : 329,022.14 = 106,942.98 : x
  2. Step 2: Convert to fraction form
    219,375.84/329,022.14 = 106,942.98/x
  3. Step 3: Cross multiply
    219,375.84x = 329,022.14 × 106,942.98
  4. Step 4: Simplify right side
    219,375.84x = 35,186,608,836.70
  5. Step 5: Solve for x
    x = 35,186,608,836.70/219,375.84
  6. Step 6: Final answer
    x = 160,394.18

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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.