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Finding the Fourth Proportional to 194,814, 268,843.68 and 105,390

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Solution

The fourth proportional to 194,814, 268,843.68 and 105,390 is: 145,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,814 : 268,843.68 = 105,390 : x
  2. Step 2: Convert to fraction form
    194,814/268,843.68 = 105,390/x
  3. Step 3: Cross multiply
    194,814x = 268,843.68 × 105,390
  4. Step 4: Simplify right side
    194,814x = 28,333,435,435.20
  5. Step 5: Solve for x
    x = 28,333,435,435.20/194,814
  6. Step 6: Final answer
    x = 145,438.39

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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.