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Finding the Fourth Proportional to 260,413.54, 359,380.92 and 152,982.64

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Solution

The fourth proportional to 260,413.54, 359,380.92 and 152,982.64 is: 211,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,413.54 : 359,380.92 = 152,982.64 : x
  2. Step 2: Convert to fraction form
    260,413.54/359,380.92 = 152,982.64/x
  3. Step 3: Cross multiply
    260,413.54x = 359,380.92 × 152,982.64
  4. Step 4: Simplify right side
    260,413.54x = 54,979,041,907.23
  5. Step 5: Solve for x
    x = 54,979,041,907.23/260,413.54
  6. Step 6: Final answer
    x = 211,122.06

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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.