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Finding the Fourth Proportional to 201,145.80, 301,913.10 and 122,413.80

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Solution

The fourth proportional to 201,145.80, 301,913.10 and 122,413.80 is: 183,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145.80 : 301,913.10 = 122,413.80 : x
  2. Step 2: Convert to fraction form
    201,145.80/301,913.10 = 122,413.80/x
  3. Step 3: Cross multiply
    201,145.80x = 301,913.10 × 122,413.80
  4. Step 4: Simplify right side
    201,145.80x = 36,958,329,840.78
  5. Step 5: Solve for x
    x = 36,958,329,840.78/201,145.80
  6. Step 6: Final answer
    x = 183,739.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.