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Finding the Fourth Proportional to 195,185.97, 269,354.43 and 105,761.97

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Solution

The fourth proportional to 195,185.97, 269,354.43 and 105,761.97 is: 145,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,185.97 : 269,354.43 = 105,761.97 : x
  2. Step 2: Convert to fraction form
    195,185.97/269,354.43 = 105,761.97/x
  3. Step 3: Cross multiply
    195,185.97x = 269,354.43 × 105,761.97
  4. Step 4: Simplify right side
    195,185.97x = 28,487,455,145.03
  5. Step 5: Solve for x
    x = 28,487,455,145.03/195,185.97
  6. Step 6: Final answer
    x = 145,950.32

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