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Finding the Fourth Proportional to 242,413.20, 363,619.80 and 147,934.80

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Solution

The fourth proportional to 242,413.20, 363,619.80 and 147,934.80 is: 221,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,413.20 : 363,619.80 = 147,934.80 : x
  2. Step 2: Convert to fraction form
    242,413.20/363,619.80 = 147,934.80/x
  3. Step 3: Cross multiply
    242,413.20x = 363,619.80 × 147,934.80
  4. Step 4: Simplify right side
    242,413.20x = 53,792,022,389.04
  5. Step 5: Solve for x
    x = 53,792,022,389.04/242,413.20
  6. Step 6: Final answer
    x = 221,902.20

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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.