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Finding the Fourth Proportional to 195,198, 269,373.24 and 105,774

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Solution

The fourth proportional to 195,198, 269,373.24 and 105,774 is: 145,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,198 : 269,373.24 = 105,774 : x
  2. Step 2: Convert to fraction form
    195,198/269,373.24 = 105,774/x
  3. Step 3: Cross multiply
    195,198x = 269,373.24 × 105,774
  4. Step 4: Simplify right side
    195,198x = 28,492,685,087.76
  5. Step 5: Solve for x
    x = 28,492,685,087.76/195,198
  6. Step 6: Final answer
    x = 145,968.12

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Why These Related Problems?

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