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Finding the Fourth Proportional to 194,751, 268,756.38 and 105,327

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Solution

The fourth proportional to 194,751, 268,756.38 and 105,327 is: 145,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751 : 268,756.38 = 105,327 : x
  2. Step 2: Convert to fraction form
    194,751/268,756.38 = 105,327/x
  3. Step 3: Cross multiply
    194,751x = 268,756.38 × 105,327
  4. Step 4: Simplify right side
    194,751x = 28,307,303,236.26
  5. Step 5: Solve for x
    x = 28,307,303,236.26/194,751
  6. Step 6: Final answer
    x = 145,351.26

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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.