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Finding the Fourth Proportional to 194,296.68, 268,082.73 and 109,413.72

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Solution

The fourth proportional to 194,296.68, 268,082.73 and 109,413.72 is: 150,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,296.68 : 268,082.73 = 109,413.72 : x
  2. Step 2: Convert to fraction form
    194,296.68/268,082.73 = 109,413.72/x
  3. Step 3: Cross multiply
    194,296.68x = 268,082.73 × 109,413.72
  4. Step 4: Simplify right side
    194,296.68x = 29,331,928,757.06
  5. Step 5: Solve for x
    x = 29,331,928,757.06/194,296.68
  6. Step 6: Final answer
    x = 150,964.64

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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.