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Finding the Fourth Proportional to 222,367.98, 333,133.44 and 109,916.57

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Solution

The fourth proportional to 222,367.98, 333,133.44 and 109,916.57 is: 164,667.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,367.98 : 333,133.44 = 109,916.57 : x
  2. Step 2: Convert to fraction form
    222,367.98/333,133.44 = 109,916.57/x
  3. Step 3: Cross multiply
    222,367.98x = 333,133.44 × 109,916.57
  4. Step 4: Simplify right side
    222,367.98x = 36,616,883,411.43
  5. Step 5: Solve for x
    x = 36,616,883,411.43/222,367.98
  6. Step 6: Final answer
    x = 164,667.97

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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.