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Finding the Fourth Proportional to 201,786.36, 302,696.96 and 52,025.36

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Solution

The fourth proportional to 201,786.36, 302,696.96 and 52,025.36 is: 78,042.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,786.36 : 302,696.96 = 52,025.36 : x
  2. Step 2: Convert to fraction form
    201,786.36/302,696.96 = 52,025.36/x
  3. Step 3: Cross multiply
    201,786.36x = 302,696.96 × 52,025.36
  4. Step 4: Simplify right side
    201,786.36x = 15,747,918,314.91
  5. Step 5: Solve for x
    x = 15,747,918,314.91/201,786.36
  6. Step 6: Final answer
    x = 78,042.53

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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.