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Finding the Fourth Proportional to 104,198.94, 143,741.69 and 65,893.94

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Solution

The fourth proportional to 104,198.94, 143,741.69 and 65,893.94 is: 90,900.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,198.94 : 143,741.69 = 65,893.94 : x
  2. Step 2: Convert to fraction form
    104,198.94/143,741.69 = 65,893.94/x
  3. Step 3: Cross multiply
    104,198.94x = 143,741.69 × 65,893.94
  4. Step 4: Simplify right side
    104,198.94x = 9,471,706,034.31
  5. Step 5: Solve for x
    x = 9,471,706,034.31/104,198.94
  6. Step 6: Final answer
    x = 90,900.21

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Why These Related Problems?

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