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Finding the Fourth Proportional to 201,141.10, 301,906.05 and 101,413.90

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Solution

The fourth proportional to 201,141.10, 301,906.05 and 101,413.90 is: 152,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,141.10 : 301,906.05 = 101,413.90 : x
  2. Step 2: Convert to fraction form
    201,141.10/301,906.05 = 101,413.90/x
  3. Step 3: Cross multiply
    201,141.10x = 301,906.05 × 101,413.90
  4. Step 4: Simplify right side
    201,141.10x = 30,617,469,964.10
  5. Step 5: Solve for x
    x = 30,617,469,964.10/201,141.10
  6. Step 6: Final answer
    x = 152,218.87

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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.