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Finding the Fourth Proportional to 204,409.37, 282,093.03 and 113,769.16

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Solution

The fourth proportional to 204,409.37, 282,093.03 and 113,769.16 is: 157,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,409.37 : 282,093.03 = 113,769.16 : x
  2. Step 2: Convert to fraction form
    204,409.37/282,093.03 = 113,769.16/x
  3. Step 3: Cross multiply
    204,409.37x = 282,093.03 × 113,769.16
  4. Step 4: Simplify right side
    204,409.37x = 32,093,486,359.72
  5. Step 5: Solve for x
    x = 32,093,486,359.72/204,409.37
  6. Step 6: Final answer
    x = 157,005.94

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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.