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Finding the Fourth Proportional to 194,741.44, 268,744.00 and 105,317.44

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Solution

The fourth proportional to 194,741.44, 268,744.00 and 105,317.44 is: 145,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,741.44 : 268,744.00 = 105,317.44 : x
  2. Step 2: Convert to fraction form
    194,741.44/268,744.00 = 105,317.44/x
  3. Step 3: Cross multiply
    194,741.44x = 268,744.00 × 105,317.44
  4. Step 4: Simplify right side
    194,741.44x = 28,303,429,160.21
  5. Step 5: Solve for x
    x = 28,303,429,160.21/194,741.44
  6. Step 6: Final answer
    x = 145,338.50

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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.