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Finding the Fourth Proportional to 194,841, 268,880.76 and 109,956.24

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Solution

The fourth proportional to 194,841, 268,880.76 and 109,956.24 is: 151,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,841 : 268,880.76 = 109,956.24 : x
  2. Step 2: Convert to fraction form
    194,841/268,880.76 = 109,956.24/x
  3. Step 3: Cross multiply
    194,841x = 268,880.76 × 109,956.24
  4. Step 4: Simplify right side
    194,841x = 29,565,117,377.94
  5. Step 5: Solve for x
    x = 29,565,117,377.94/194,841
  6. Step 6: Final answer
    x = 151,739.71

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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.