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Finding the Fourth Proportional to 201,793.75, 278,475.38 and 116,960.02

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Solution

The fourth proportional to 201,793.75, 278,475.38 and 116,960.02 is: 161,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793.75 : 278,475.38 = 116,960.02 : x
  2. Step 2: Convert to fraction form
    201,793.75/278,475.38 = 116,960.02/x
  3. Step 3: Cross multiply
    201,793.75x = 278,475.38 × 116,960.02
  4. Step 4: Simplify right side
    201,793.75x = 32,570,486,014.31
  5. Step 5: Solve for x
    x = 32,570,486,014.31/201,793.75
  6. Step 6: Final answer
    x = 161,404.83

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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.