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Finding the Fourth Proportional to 201,144.26, 301,716.38 and 51,384.87

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Solution

The fourth proportional to 201,144.26, 301,716.38 and 51,384.87 is: 77,077.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,144.26 : 301,716.38 = 51,384.87 : x
  2. Step 2: Convert to fraction form
    201,144.26/301,716.38 = 51,384.87/x
  3. Step 3: Cross multiply
    201,144.26x = 301,716.38 × 51,384.87
  4. Step 4: Simplify right side
    201,144.26x = 15,503,656,706.25
  5. Step 5: Solve for x
    x = 15,503,656,706.25/201,144.26
  6. Step 6: Final answer
    x = 77,077.30

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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.