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Finding the Fourth Proportional to 196,075.69, 270,584.45 and 106,651.69

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Solution

The fourth proportional to 196,075.69, 270,584.45 and 106,651.69 is: 147,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,075.69 : 270,584.45 = 106,651.69 : x
  2. Step 2: Convert to fraction form
    196,075.69/270,584.45 = 106,651.69/x
  3. Step 3: Cross multiply
    196,075.69x = 270,584.45 × 106,651.69
  4. Step 4: Simplify right side
    196,075.69x = 28,858,288,070.44
  5. Step 5: Solve for x
    x = 28,858,288,070.44/196,075.69
  6. Step 6: Final answer
    x = 147,179.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.