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Finding the Fourth Proportional to 170,198.49, 234,905.40 and 98,578.49

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Solution

The fourth proportional to 170,198.49, 234,905.40 and 98,578.49 is: 136,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,198.49 : 234,905.40 = 98,578.49 : x
  2. Step 2: Convert to fraction form
    170,198.49/234,905.40 = 98,578.49/x
  3. Step 3: Cross multiply
    170,198.49x = 234,905.40 × 98,578.49
  4. Step 4: Simplify right side
    170,198.49x = 23,156,618,450.32
  5. Step 5: Solve for x
    x = 23,156,618,450.32/170,198.49
  6. Step 6: Final answer
    x = 136,056.54

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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.