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Finding the Fourth Proportional to 194,622.39, 268,578.87 and 105,198.39

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Solution

The fourth proportional to 194,622.39, 268,578.87 and 105,198.39 is: 145,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,622.39 : 268,578.87 = 105,198.39 : x
  2. Step 2: Convert to fraction form
    194,622.39/268,578.87 = 105,198.39/x
  3. Step 3: Cross multiply
    194,622.39x = 268,578.87 × 105,198.39
  4. Step 4: Simplify right side
    194,622.39x = 28,254,064,712.02
  5. Step 5: Solve for x
    x = 28,254,064,712.02/194,622.39
  6. Step 6: Final answer
    x = 145,173.76

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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.