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Finding the Fourth Proportional to 198,388.30, 298,946.26 and 164,096.14

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Solution

The fourth proportional to 198,388.30, 298,946.26 and 164,096.14 is: 247,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,388.30 : 298,946.26 = 164,096.14 : x
  2. Step 2: Convert to fraction form
    198,388.30/298,946.26 = 164,096.14/x
  3. Step 3: Cross multiply
    198,388.30x = 298,946.26 × 164,096.14
  4. Step 4: Simplify right side
    198,388.30x = 49,055,927,333.44
  5. Step 5: Solve for x
    x = 49,055,927,333.44/198,388.30
  6. Step 6: Final answer
    x = 247,272.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.