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Finding the Fourth Proportional to 194,761, 268,770.20 and 105,337

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Solution

The fourth proportional to 194,761, 268,770.20 and 105,337 is: 145,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,761 : 268,770.20 = 105,337 : x
  2. Step 2: Convert to fraction form
    194,761/268,770.20 = 105,337/x
  3. Step 3: Cross multiply
    194,761x = 268,770.20 × 105,337
  4. Step 4: Simplify right side
    194,761x = 28,311,446,557.40
  5. Step 5: Solve for x
    x = 28,311,446,557.40/194,761
  6. Step 6: Final answer
    x = 145,365.07

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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.