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Finding the Fourth Proportional to 198,963.44, 298,257.56 and 99,029.16

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Solution

The fourth proportional to 198,963.44, 298,257.56 and 99,029.16 is: 148,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,963.44 : 298,257.56 = 99,029.16 : x
  2. Step 2: Convert to fraction form
    198,963.44/298,257.56 = 99,029.16/x
  3. Step 3: Cross multiply
    198,963.44x = 298,257.56 × 99,029.16
  4. Step 4: Simplify right side
    198,963.44x = 29,536,195,135.30
  5. Step 5: Solve for x
    x = 29,536,195,135.30/198,963.44
  6. Step 6: Final answer
    x = 148,450.36

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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.