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Finding the Fourth Proportional to 194,674, 268,650.18 and 105,250

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Solution

The fourth proportional to 194,674, 268,650.18 and 105,250 is: 145,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,674 : 268,650.18 = 105,250 : x
  2. Step 2: Convert to fraction form
    194,674/268,650.18 = 105,250/x
  3. Step 3: Cross multiply
    194,674x = 268,650.18 × 105,250
  4. Step 4: Simplify right side
    194,674x = 28,275,431,445
  5. Step 5: Solve for x
    x = 28,275,431,445/194,674
  6. Step 6: Final answer
    x = 145,245.03

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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.