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Finding the Fourth Proportional to 194,478, 268,379.88 and 105,054

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Solution

The fourth proportional to 194,478, 268,379.88 and 105,054 is: 144,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,478 : 268,379.88 = 105,054 : x
  2. Step 2: Convert to fraction form
    194,478/268,379.88 = 105,054/x
  3. Step 3: Cross multiply
    194,478x = 268,379.88 × 105,054
  4. Step 4: Simplify right side
    194,478x = 28,194,379,913.52
  5. Step 5: Solve for x
    x = 28,194,379,913.52/194,478
  6. Step 6: Final answer
    x = 144,974.65

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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.