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Finding the Fourth Proportional to 199,413.60, 299,120.40 and 163,984.20

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Solution

The fourth proportional to 199,413.60, 299,120.40 and 163,984.20 is: 245,976.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413.60 : 299,120.40 = 163,984.20 : x
  2. Step 2: Convert to fraction form
    199,413.60/299,120.40 = 163,984.20/x
  3. Step 3: Cross multiply
    199,413.60x = 299,120.40 × 163,984.20
  4. Step 4: Simplify right side
    199,413.60x = 49,051,019,497.68
  5. Step 5: Solve for x
    x = 49,051,019,497.68/199,413.60
  6. Step 6: Final answer
    x = 245,976.30

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1.5x scale

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.