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Finding the Fourth Proportional to 148,198.09, 204,515 and 84,539.65

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Solution

The fourth proportional to 148,198.09, 204,515 and 84,539.65 is: 116,665.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,198.09 : 204,515 = 84,539.65 : x
  2. Step 2: Convert to fraction form
    148,198.09/204,515 = 84,539.65/x
  3. Step 3: Cross multiply
    148,198.09x = 204,515 × 84,539.65
  4. Step 4: Simplify right side
    148,198.09x = 17,289,626,519.75
  5. Step 5: Solve for x
    x = 17,289,626,519.75/148,198.09
  6. Step 6: Final answer
    x = 116,665.65

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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.