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Finding the Fourth Proportional to 98,021.84, 146,771.64 and 66,917.84

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Solution

The fourth proportional to 98,021.84, 146,771.64 and 66,917.84 is: 100,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,021.84 : 146,771.64 = 66,917.84 : x
  2. Step 2: Convert to fraction form
    98,021.84/146,771.64 = 66,917.84/x
  3. Step 3: Cross multiply
    98,021.84x = 146,771.64 × 66,917.84
  4. Step 4: Simplify right side
    98,021.84x = 9,821,641,122.06
  5. Step 5: Solve for x
    x = 9,821,641,122.06/98,021.84
  6. Step 6: Final answer
    x = 100,198.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.