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Finding the Fourth Proportional to 194,383.14, 268,338.80 and 137,069.16

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Solution

The fourth proportional to 194,383.14, 268,338.80 and 137,069.16 is: 189,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,383.14 : 268,338.80 = 137,069.16 : x
  2. Step 2: Convert to fraction form
    194,383.14/268,338.80 = 137,069.16/x
  3. Step 3: Cross multiply
    194,383.14x = 268,338.80 × 137,069.16
  4. Step 4: Simplify right side
    194,383.14x = 36,780,973,911.41
  5. Step 5: Solve for x
    x = 36,780,973,911.41/194,383.14
  6. Step 6: Final answer
    x = 189,218.95

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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.