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Finding the Fourth Proportional to 218,942.60, 328,413.90 and 201,227.90

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Solution

The fourth proportional to 218,942.60, 328,413.90 and 201,227.90 is: 301,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,942.60 : 328,413.90 = 201,227.90 : x
  2. Step 2: Convert to fraction form
    218,942.60/328,413.90 = 201,227.90/x
  3. Step 3: Cross multiply
    218,942.60x = 328,413.90 × 201,227.90
  4. Step 4: Simplify right side
    218,942.60x = 66,086,039,427.81
  5. Step 5: Solve for x
    x = 66,086,039,427.81/218,942.60
  6. Step 6: Final answer
    x = 301,841.85

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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.