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Finding the Fourth Proportional to 201,796.75, 278,479.52 and 116,963.02

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Solution

The fourth proportional to 201,796.75, 278,479.52 and 116,963.02 is: 161,408.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,796.75 : 278,479.52 = 116,963.02 : x
  2. Step 2: Convert to fraction form
    201,796.75/278,479.52 = 116,963.02/x
  3. Step 3: Cross multiply
    201,796.75x = 278,479.52 × 116,963.02
  4. Step 4: Simplify right side
    201,796.75x = 32,571,805,667.35
  5. Step 5: Solve for x
    x = 32,571,805,667.35/201,796.75
  6. Step 6: Final answer
    x = 161,408.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.