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Finding the Fourth Proportional to 198,385.30, 298,941.73 and 164,093.14

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Solution

The fourth proportional to 198,385.30, 298,941.73 and 164,093.14 is: 247,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,385.30 : 298,941.73 = 164,093.14 : x
  2. Step 2: Convert to fraction form
    198,385.30/298,941.73 = 164,093.14/x
  3. Step 3: Cross multiply
    198,385.30x = 298,941.73 × 164,093.14
  4. Step 4: Simplify right side
    198,385.30x = 49,054,287,152.73
  5. Step 5: Solve for x
    x = 49,054,287,152.73/198,385.30
  6. Step 6: Final answer
    x = 247,267.75

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