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Finding the Fourth Proportional to 193,883.80, 290,672.10 and 106,331.80

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Solution

The fourth proportional to 193,883.80, 290,672.10 and 106,331.80 is: 159,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,883.80 : 290,672.10 = 106,331.80 : x
  2. Step 2: Convert to fraction form
    193,883.80/290,672.10 = 106,331.80/x
  3. Step 3: Cross multiply
    193,883.80x = 290,672.10 × 106,331.80
  4. Step 4: Simplify right side
    193,883.80x = 30,907,687,602.78
  5. Step 5: Solve for x
    x = 30,907,687,602.78/193,883.80
  6. Step 6: Final answer
    x = 159,413.46

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1.5x scale

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.