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Finding the Fourth Proportional to 201,136.22, 301,828.91 and 116,936.00

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Solution

The fourth proportional to 201,136.22, 301,828.91 and 116,936.00 is: 175,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136.22 : 301,828.91 = 116,936.00 : x
  2. Step 2: Convert to fraction form
    201,136.22/301,828.91 = 116,936.00/x
  3. Step 3: Cross multiply
    201,136.22x = 301,828.91 × 116,936.00
  4. Step 4: Simplify right side
    201,136.22x = 35,294,665,589.65
  5. Step 5: Solve for x
    x = 35,294,665,589.65/201,136.22
  6. Step 6: Final answer
    x = 175,476.43

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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.