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Finding the Fourth Proportional to 201,413.56, 301,987.86 and 112,676.44

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Solution

The fourth proportional to 201,413.56, 301,987.86 and 112,676.44 is: 168,940.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,413.56 : 301,987.86 = 112,676.44 : x
  2. Step 2: Convert to fraction form
    201,413.56/301,987.86 = 112,676.44/x
  3. Step 3: Cross multiply
    201,413.56x = 301,987.86 × 112,676.44
  4. Step 4: Simplify right side
    201,413.56x = 34,026,916,988.02
  5. Step 5: Solve for x
    x = 34,026,916,988.02/201,413.56
  6. Step 6: Final answer
    x = 168,940.55

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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.