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Finding the Fourth Proportional to 201,205, 277,662.90 and 111,781

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Solution

The fourth proportional to 201,205, 277,662.90 and 111,781 is: 154,257.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,205 : 277,662.90 = 111,781 : x
  2. Step 2: Convert to fraction form
    201,205/277,662.90 = 111,781/x
  3. Step 3: Cross multiply
    201,205x = 277,662.90 × 111,781
  4. Step 4: Simplify right side
    201,205x = 31,037,436,624.90
  5. Step 5: Solve for x
    x = 31,037,436,624.90/201,205
  6. Step 6: Final answer
    x = 154,257.78

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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.