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Finding the Fourth Proportional to 194,876, 268,929.60 and 105,452

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Solution

The fourth proportional to 194,876, 268,929.60 and 105,452 is: 145,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,876 : 268,929.60 = 105,452 : x
  2. Step 2: Convert to fraction form
    194,876/268,929.60 = 105,452/x
  3. Step 3: Cross multiply
    194,876x = 268,929.60 × 105,452
  4. Step 4: Simplify right side
    194,876x = 28,359,164,179.20
  5. Step 5: Solve for x
    x = 28,359,164,179.20/194,876
  6. Step 6: Final answer
    x = 145,524.15

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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.