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Finding the Fourth Proportional to 192,413.82, 288,620.73 and 59,294.08

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Solution

The fourth proportional to 192,413.82, 288,620.73 and 59,294.08 is: 88,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,413.82 : 288,620.73 = 59,294.08 : x
  2. Step 2: Convert to fraction form
    192,413.82/288,620.73 = 59,294.08/x
  3. Step 3: Cross multiply
    192,413.82x = 288,620.73 × 59,294.08
  4. Step 4: Simplify right side
    192,413.82x = 17,113,499,539.09
  5. Step 5: Solve for x
    x = 17,113,499,539.09/192,413.82
  6. Step 6: Final answer
    x = 88,941.11

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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.