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Finding the Fourth Proportional to 205,369.14, 308,169.70 and 110,597.32

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Solution

The fourth proportional to 205,369.14, 308,169.70 and 110,597.32 is: 165,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,369.14 : 308,169.70 = 110,597.32 : x
  2. Step 2: Convert to fraction form
    205,369.14/308,169.70 = 110,597.32/x
  3. Step 3: Cross multiply
    205,369.14x = 308,169.70 × 110,597.32
  4. Step 4: Simplify right side
    205,369.14x = 34,082,743,033.92
  5. Step 5: Solve for x
    x = 34,082,743,033.92/205,369.14
  6. Step 6: Final answer
    x = 165,958.44

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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.