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Finding the Fourth Proportional to 205,722.99, 308,104.66 and 200,046.41

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Solution

The fourth proportional to 205,722.99, 308,104.66 and 200,046.41 is: 299,603.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722.99 : 308,104.66 = 200,046.41 : x
  2. Step 2: Convert to fraction form
    205,722.99/308,104.66 = 200,046.41/x
  3. Step 3: Cross multiply
    205,722.99x = 308,104.66 × 200,046.41
  4. Step 4: Simplify right side
    205,722.99x = 61,635,231,002.20
  5. Step 5: Solve for x
    x = 61,635,231,002.20/205,722.99
  6. Step 6: Final answer
    x = 299,603.03

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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.