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Finding the Fourth Proportional to 197,223, 295,834.50 and 65,895

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Solution

The fourth proportional to 197,223, 295,834.50 and 65,895 is: 98,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,223 : 295,834.50 = 65,895 : x
  2. Step 2: Convert to fraction form
    197,223/295,834.50 = 65,895/x
  3. Step 3: Cross multiply
    197,223x = 295,834.50 × 65,895
  4. Step 4: Simplify right side
    197,223x = 19,494,014,377.50
  5. Step 5: Solve for x
    x = 19,494,014,377.50/197,223
  6. Step 6: Final answer
    x = 98,842.50

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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.