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Finding the Fourth Proportional to 194,706, 268,694.28 and 105,282

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Solution

The fourth proportional to 194,706, 268,694.28 and 105,282 is: 145,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,706 : 268,694.28 = 105,282 : x
  2. Step 2: Convert to fraction form
    194,706/268,694.28 = 105,282/x
  3. Step 3: Cross multiply
    194,706x = 268,694.28 × 105,282
  4. Step 4: Simplify right side
    194,706x = 28,288,671,186.96
  5. Step 5: Solve for x
    x = 28,288,671,186.96/194,706
  6. Step 6: Final answer
    x = 145,289.16

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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.