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Finding the Fourth Proportional to 194,722.25, 268,716.72 and 105,298.25

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Solution

The fourth proportional to 194,722.25, 268,716.72 and 105,298.25 is: 145,311.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,722.25 : 268,716.72 = 105,298.25 : x
  2. Step 2: Convert to fraction form
    194,722.25/268,716.72 = 105,298.25/x
  3. Step 3: Cross multiply
    194,722.25x = 268,716.72 × 105,298.25
  4. Step 4: Simplify right side
    194,722.25x = 28,295,400,361.74
  5. Step 5: Solve for x
    x = 28,295,400,361.74/194,722.25
  6. Step 6: Final answer
    x = 145,311.59

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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.