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Finding the Fourth Proportional to 194,967, 269,055.27 and 105,543

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Solution

The fourth proportional to 194,967, 269,055.27 and 105,543 is: 145,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,967 : 269,055.27 = 105,543 : x
  2. Step 2: Convert to fraction form
    194,967/269,055.27 = 105,543/x
  3. Step 3: Cross multiply
    194,967x = 269,055.27 × 105,543
  4. Step 4: Simplify right side
    194,967x = 28,396,900,361.61
  5. Step 5: Solve for x
    x = 28,396,900,361.61/194,967
  6. Step 6: Final answer
    x = 145,649.78

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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.