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Finding the Fourth Proportional to 193,413.62, 266,903.86 and 107,376.38

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Solution

The fourth proportional to 193,413.62, 266,903.86 and 107,376.38 is: 148,175.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,413.62 : 266,903.86 = 107,376.38 : x
  2. Step 2: Convert to fraction form
    193,413.62/266,903.86 = 107,376.38/x
  3. Step 3: Cross multiply
    193,413.62x = 266,903.86 × 107,376.38
  4. Step 4: Simplify right side
    193,413.62x = 28,659,171,395.42
  5. Step 5: Solve for x
    x = 28,659,171,395.42/193,413.62
  6. Step 6: Final answer
    x = 148,175.56

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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.