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Finding the Fourth Proportional to 218,078.69, 327,200.07 and 75,934.62

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Solution

The fourth proportional to 218,078.69, 327,200.07 and 75,934.62 is: 113,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,078.69 : 327,200.07 = 75,934.62 : x
  2. Step 2: Convert to fraction form
    218,078.69/327,200.07 = 75,934.62/x
  3. Step 3: Cross multiply
    218,078.69x = 327,200.07 × 75,934.62
  4. Step 4: Simplify right side
    218,078.69x = 24,845,812,979.42
  5. Step 5: Solve for x
    x = 24,845,812,979.42/218,078.69
  6. Step 6: Final answer
    x = 113,930.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.