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Finding the Fourth Proportional to 194,357.59, 268,121.79 and 113,735.20

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Solution

The fourth proportional to 194,357.59, 268,121.79 and 113,735.20 is: 156,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,357.59 : 268,121.79 = 113,735.20 : x
  2. Step 2: Convert to fraction form
    194,357.59/268,121.79 = 113,735.20/x
  3. Step 3: Cross multiply
    194,357.59x = 268,121.79 × 113,735.20
  4. Step 4: Simplify right side
    194,357.59x = 30,494,885,410.01
  5. Step 5: Solve for x
    x = 30,494,885,410.01/194,357.59
  6. Step 6: Final answer
    x = 156,900.92

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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.