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Finding the Fourth Proportional to 194,674.50, 268,651.08 and 105,250.50

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Solution

The fourth proportional to 194,674.50, 268,651.08 and 105,250.50 is: 145,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,674.50 : 268,651.08 = 105,250.50 : x
  2. Step 2: Convert to fraction form
    194,674.50/268,651.08 = 105,250.50/x
  3. Step 3: Cross multiply
    194,674.50x = 268,651.08 × 105,250.50
  4. Step 4: Simplify right side
    194,674.50x = 28,275,660,495.54
  5. Step 5: Solve for x
    x = 28,275,660,495.54/194,674.50
  6. Step 6: Final answer
    x = 145,245.84

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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.