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Finding the Fourth Proportional to 194,663, 268,635.30 and 105,239

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Solution

The fourth proportional to 194,663, 268,635.30 and 105,239 is: 145,230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,663 : 268,635.30 = 105,239 : x
  2. Step 2: Convert to fraction form
    194,663/268,635.30 = 105,239/x
  3. Step 3: Cross multiply
    194,663x = 268,635.30 × 105,239
  4. Step 4: Simplify right side
    194,663x = 28,270,910,336.70
  5. Step 5: Solve for x
    x = 28,270,910,336.70/194,663
  6. Step 6: Final answer
    x = 145,230.01

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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.