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Finding the Fourth Proportional to 198,959.70, 298,239.92 and 92,418.44

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Solution

The fourth proportional to 198,959.70, 298,239.92 and 92,418.44 is: 138,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,959.70 : 298,239.92 = 92,418.44 : x
  2. Step 2: Convert to fraction form
    198,959.70/298,239.92 = 92,418.44/x
  3. Step 3: Cross multiply
    198,959.70x = 298,239.92 × 92,418.44
  4. Step 4: Simplify right side
    198,959.70x = 27,562,868,152.12
  5. Step 5: Solve for x
    x = 27,562,868,152.12/198,959.70
  6. Step 6: Final answer
    x = 138,534.93

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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.