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Finding the Fourth Proportional to 201,144.94, 301,821.90 and 81,231.38

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Solution

The fourth proportional to 201,144.94, 301,821.90 and 81,231.38 is: 121,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,144.94 : 301,821.90 = 81,231.38 : x
  2. Step 2: Convert to fraction form
    201,144.94/301,821.90 = 81,231.38/x
  3. Step 3: Cross multiply
    201,144.94x = 301,821.90 × 81,231.38
  4. Step 4: Simplify right side
    201,144.94x = 24,517,409,451.22
  5. Step 5: Solve for x
    x = 24,517,409,451.22/201,144.94
  6. Step 6: Final answer
    x = 121,889.27

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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.