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Finding the Fourth Proportional to 198,884.25, 274,460.31 and 109,460.25

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Solution

The fourth proportional to 198,884.25, 274,460.31 and 109,460.25 is: 151,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,884.25 : 274,460.31 = 109,460.25 : x
  2. Step 2: Convert to fraction form
    198,884.25/274,460.31 = 109,460.25/x
  3. Step 3: Cross multiply
    198,884.25x = 274,460.31 × 109,460.25
  4. Step 4: Simplify right side
    198,884.25x = 30,042,494,147.68
  5. Step 5: Solve for x
    x = 30,042,494,147.68/198,884.25
  6. Step 6: Final answer
    x = 151,055.17

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1.5x scale

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.