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Finding the Fourth Proportional to 201,138.46, 277,540.25 and 116,239.14

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Solution

The fourth proportional to 201,138.46, 277,540.25 and 116,239.14 is: 160,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,138.46 : 277,540.25 = 116,239.14 : x
  2. Step 2: Convert to fraction form
    201,138.46/277,540.25 = 116,239.14/x
  3. Step 3: Cross multiply
    201,138.46x = 277,540.25 × 116,239.14
  4. Step 4: Simplify right side
    201,138.46x = 32,261,039,975.39
  5. Step 5: Solve for x
    x = 32,261,039,975.39/201,138.46
  6. Step 6: Final answer
    x = 160,392.20

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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.