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Finding the Fourth Proportional to 204,984.50, 282,879.05 and 114,338.13

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Solution

The fourth proportional to 204,984.50, 282,879.05 and 114,338.13 is: 157,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,984.50 : 282,879.05 = 114,338.13 : x
  2. Step 2: Convert to fraction form
    204,984.50/282,879.05 = 114,338.13/x
  3. Step 3: Cross multiply
    204,984.50x = 282,879.05 × 114,338.13
  4. Step 4: Simplify right side
    204,984.50x = 32,343,861,021.49
  5. Step 5: Solve for x
    x = 32,343,861,021.49/204,984.50
  6. Step 6: Final answer
    x = 157,786.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.