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Finding the Fourth Proportional to 200,747.30, 301,149.60 and 65,782.52

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Solution

The fourth proportional to 200,747.30, 301,149.60 and 65,782.52 is: 98,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,747.30 : 301,149.60 = 65,782.52 : x
  2. Step 2: Convert to fraction form
    200,747.30/301,149.60 = 65,782.52/x
  3. Step 3: Cross multiply
    200,747.30x = 301,149.60 × 65,782.52
  4. Step 4: Simplify right side
    200,747.30x = 19,810,379,584.99
  5. Step 5: Solve for x
    x = 19,810,379,584.99/200,747.30
  6. Step 6: Final answer
    x = 98,683.17

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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.