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Finding the Fourth Proportional to 193,296.78, 266,749.53 and 108,413.82

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Solution

The fourth proportional to 193,296.78, 266,749.53 and 108,413.82 is: 149,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,296.78 : 266,749.53 = 108,413.82 : x
  2. Step 2: Convert to fraction form
    193,296.78/266,749.53 = 108,413.82/x
  3. Step 3: Cross multiply
    193,296.78x = 266,749.53 × 108,413.82
  4. Step 4: Simplify right side
    193,296.78x = 28,919,335,530.50
  5. Step 5: Solve for x
    x = 28,919,335,530.50/193,296.78
  6. Step 6: Final answer
    x = 149,611.06

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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.