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Finding the Fourth Proportional to 194,909.27, 268,974.83 and 105,485.27

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Solution

The fourth proportional to 194,909.27, 268,974.83 and 105,485.27 is: 145,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,909.27 : 268,974.83 = 105,485.27 : x
  2. Step 2: Convert to fraction form
    194,909.27/268,974.83 = 105,485.27/x
  3. Step 3: Cross multiply
    194,909.27x = 268,974.83 × 105,485.27
  4. Step 4: Simplify right side
    194,909.27x = 28,372,882,038.33
  5. Step 5: Solve for x
    x = 28,372,882,038.33/194,909.27
  6. Step 6: Final answer
    x = 145,569.69

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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.