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Finding the Fourth Proportional to 269,005.36, 371,271.78 and 205,222.72

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Solution

The fourth proportional to 269,005.36, 371,271.78 and 205,222.72 is: 283,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,005.36 : 371,271.78 = 205,222.72 : x
  2. Step 2: Convert to fraction form
    269,005.36/371,271.78 = 205,222.72/x
  3. Step 3: Cross multiply
    269,005.36x = 371,271.78 × 205,222.72
  4. Step 4: Simplify right side
    269,005.36x = 76,193,404,550.84
  5. Step 5: Solve for x
    x = 76,193,404,550.84/269,005.36
  6. Step 6: Final answer
    x = 283,241.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.