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Finding the Fourth Proportional to 200,745.84, 301,147.38 and 65,781.04

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Solution

The fourth proportional to 200,745.84, 301,147.38 and 65,781.04 is: 98,680.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745.84 : 301,147.38 = 65,781.04 : x
  2. Step 2: Convert to fraction form
    200,745.84/301,147.38 = 65,781.04/x
  3. Step 3: Cross multiply
    200,745.84x = 301,147.38 × 65,781.04
  4. Step 4: Simplify right side
    200,745.84x = 19,809,787,849.68
  5. Step 5: Solve for x
    x = 19,809,787,849.68/200,745.84
  6. Step 6: Final answer
    x = 98,680.94

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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.