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Finding the Fourth Proportional to 195,191.97, 269,362.71 and 105,767.97

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Solution

The fourth proportional to 195,191.97, 269,362.71 and 105,767.97 is: 145,958.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,191.97 : 269,362.71 = 105,767.97 : x
  2. Step 2: Convert to fraction form
    195,191.97/269,362.71 = 105,767.97/x
  3. Step 3: Cross multiply
    195,191.97x = 269,362.71 × 105,767.97
  4. Step 4: Simplify right side
    195,191.97x = 28,489,947,030.40
  5. Step 5: Solve for x
    x = 28,489,947,030.40/195,191.97
  6. Step 6: Final answer
    x = 145,958.60

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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.