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Finding the Fourth Proportional to 201,206.16, 277,663.08 and 109,324.56

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Solution

The fourth proportional to 201,206.16, 277,663.08 and 109,324.56 is: 150,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,206.16 : 277,663.08 = 109,324.56 : x
  2. Step 2: Convert to fraction form
    201,206.16/277,663.08 = 109,324.56/x
  3. Step 3: Cross multiply
    201,206.16x = 277,663.08 × 109,324.56
  4. Step 4: Simplify right side
    201,206.16x = 30,355,394,049.24
  5. Step 5: Solve for x
    x = 30,355,394,049.24/201,206.16
  6. Step 6: Final answer
    x = 150,867.12

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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.