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Finding the Fourth Proportional to 194,661, 268,632.24 and 105,237

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Solution

The fourth proportional to 194,661, 268,632.24 and 105,237 is: 145,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,661 : 268,632.24 = 105,237 : x
  2. Step 2: Convert to fraction form
    194,661/268,632.24 = 105,237/x
  3. Step 3: Cross multiply
    194,661x = 268,632.24 × 105,237
  4. Step 4: Simplify right side
    194,661x = 28,270,051,040.88
  5. Step 5: Solve for x
    x = 28,270,051,040.88/194,661
  6. Step 6: Final answer
    x = 145,227.09

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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.