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Finding the Fourth Proportional to 194,698, 268,684.05 and 105,274

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Solution

The fourth proportional to 194,698, 268,684.05 and 105,274 is: 145,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,698 : 268,684.05 = 105,274 : x
  2. Step 2: Convert to fraction form
    194,698/268,684.05 = 105,274/x
  3. Step 3: Cross multiply
    194,698x = 268,684.05 × 105,274
  4. Step 4: Simplify right side
    194,698x = 28,285,444,679.70
  5. Step 5: Solve for x
    x = 28,285,444,679.70/194,698
  6. Step 6: Final answer
    x = 145,278.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.