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Finding the Fourth Proportional to 209,481.90, 289,259.22 and 194,286

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Solution

The fourth proportional to 209,481.90, 289,259.22 and 194,286 is: 268,276.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,481.90 : 289,259.22 = 194,286 : x
  2. Step 2: Convert to fraction form
    209,481.90/289,259.22 = 194,286/x
  3. Step 3: Cross multiply
    209,481.90x = 289,259.22 × 194,286
  4. Step 4: Simplify right side
    209,481.90x = 56,199,016,816.92
  5. Step 5: Solve for x
    x = 56,199,016,816.92/209,481.90
  6. Step 6: Final answer
    x = 268,276.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.