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Finding the Fourth Proportional to 201,233, 277,701.54 and 111,809

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Solution

The fourth proportional to 201,233, 277,701.54 and 111,809 is: 154,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,233 : 277,701.54 = 111,809 : x
  2. Step 2: Convert to fraction form
    201,233/277,701.54 = 111,809/x
  3. Step 3: Cross multiply
    201,233x = 277,701.54 × 111,809
  4. Step 4: Simplify right side
    201,233x = 31,049,531,485.86
  5. Step 5: Solve for x
    x = 31,049,531,485.86/201,233
  6. Step 6: Final answer
    x = 154,296.42

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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.