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Finding the Fourth Proportional to 195,930.32, 270,413.38 and 119,493.78

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Solution

The fourth proportional to 195,930.32, 270,413.38 and 119,493.78 is: 164,919.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,930.32 : 270,413.38 = 119,493.78 : x
  2. Step 2: Convert to fraction form
    195,930.32/270,413.38 = 119,493.78/x
  3. Step 3: Cross multiply
    195,930.32x = 270,413.38 × 119,493.78
  4. Step 4: Simplify right side
    195,930.32x = 32,312,716,938.78
  5. Step 5: Solve for x
    x = 32,312,716,938.78/195,930.32
  6. Step 6: Final answer
    x = 164,919.43

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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.