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Finding the Fourth Proportional to 201,111.90, 301,667.85 and 82,743.90

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Solution

The fourth proportional to 201,111.90, 301,667.85 and 82,743.90 is: 124,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,111.90 : 301,667.85 = 82,743.90 : x
  2. Step 2: Convert to fraction form
    201,111.90/301,667.85 = 82,743.90/x
  3. Step 3: Cross multiply
    201,111.90x = 301,667.85 × 82,743.90
  4. Step 4: Simplify right side
    201,111.90x = 24,961,174,413.62
  5. Step 5: Solve for x
    x = 24,961,174,413.62/201,111.90
  6. Step 6: Final answer
    x = 124,115.85

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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.