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Finding the Fourth Proportional to 199,109.40, 298,660.26 and 49,350

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Solution

The fourth proportional to 199,109.40, 298,660.26 and 49,350 is: 74,024.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,109.40 : 298,660.26 = 49,350 : x
  2. Step 2: Convert to fraction form
    199,109.40/298,660.26 = 49,350/x
  3. Step 3: Cross multiply
    199,109.40x = 298,660.26 × 49,350
  4. Step 4: Simplify right side
    199,109.40x = 14,738,883,831
  5. Step 5: Solve for x
    x = 14,738,883,831/199,109.40
  6. Step 6: Final answer
    x = 74,024.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.