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Finding the Fourth Proportional to 98,413.92, 147,699.36 and 51,042.42

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Solution

The fourth proportional to 98,413.92, 147,699.36 and 51,042.42 is: 76,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.92 : 147,699.36 = 51,042.42 : x
  2. Step 2: Convert to fraction form
    98,413.92/147,699.36 = 51,042.42/x
  3. Step 3: Cross multiply
    98,413.92x = 147,699.36 × 51,042.42
  4. Step 4: Simplify right side
    98,413.92x = 7,538,932,766.85
  5. Step 5: Solve for x
    x = 7,538,932,766.85/98,413.92
  6. Step 6: Final answer
    x = 76,604.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.