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Finding the Fourth Proportional to 194,662, 268,634.20 and 105,238.64

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Solution

The fourth proportional to 194,662, 268,634.20 and 105,238.64 is: 145,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,662 : 268,634.20 = 105,238.64 : x
  2. Step 2: Convert to fraction form
    194,662/268,634.20 = 105,238.64/x
  3. Step 3: Cross multiply
    194,662x = 268,634.20 × 105,238.64
  4. Step 4: Simplify right side
    194,662x = 28,270,697,865.49
  5. Step 5: Solve for x
    x = 28,270,697,865.49/194,662
  6. Step 6: Final answer
    x = 145,229.67

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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.