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Finding the Fourth Proportional to 222,311.70, 333,222.89 and 109,825.38

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Solution

The fourth proportional to 222,311.70, 333,222.89 and 109,825.38 is: 164,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,311.70 : 333,222.89 = 109,825.38 : x
  2. Step 2: Convert to fraction form
    222,311.70/333,222.89 = 109,825.38/x
  3. Step 3: Cross multiply
    222,311.70x = 333,222.89 × 109,825.38
  4. Step 4: Simplify right side
    222,311.70x = 36,596,329,969.82
  5. Step 5: Solve for x
    x = 36,596,329,969.82/222,311.70
  6. Step 6: Final answer
    x = 164,617.20

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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.