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Finding the Fourth Proportional to 199,131.50, 298,632.66 and 65,976

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Solution

The fourth proportional to 199,131.50, 298,632.66 and 65,976 is: 98,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,131.50 : 298,632.66 = 65,976 : x
  2. Step 2: Convert to fraction form
    199,131.50/298,632.66 = 65,976/x
  3. Step 3: Cross multiply
    199,131.50x = 298,632.66 × 65,976
  4. Step 4: Simplify right side
    199,131.50x = 19,702,588,376.16
  5. Step 5: Solve for x
    x = 19,702,588,376.16/199,131.50
  6. Step 6: Final answer
    x = 98,942.60

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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.