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Finding the Fourth Proportional to 269,433, 404,207.82 and 103,221

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Solution

The fourth proportional to 269,433, 404,207.82 and 103,221 is: 154,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,433 : 404,207.82 = 103,221 : x
  2. Step 2: Convert to fraction form
    269,433/404,207.82 = 103,221/x
  3. Step 3: Cross multiply
    269,433x = 404,207.82 × 103,221
  4. Step 4: Simplify right side
    269,433x = 41,722,735,388.22
  5. Step 5: Solve for x
    x = 41,722,735,388.22/269,433
  6. Step 6: Final answer
    x = 154,853.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.