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Finding the Fourth Proportional to 207,993.22, 312,001.19 and 65,827.89

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Solution

The fourth proportional to 207,993.22, 312,001.19 and 65,827.89 is: 98,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,993.22 : 312,001.19 = 65,827.89 : x
  2. Step 2: Convert to fraction form
    207,993.22/312,001.19 = 65,827.89/x
  3. Step 3: Cross multiply
    207,993.22x = 312,001.19 × 65,827.89
  4. Step 4: Simplify right side
    207,993.22x = 20,538,380,208.63
  5. Step 5: Solve for x
    x = 20,538,380,208.63/207,993.22
  6. Step 6: Final answer
    x = 98,745.43

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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.