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Finding the Fourth Proportional to 269,020.40, 403,433.40 and 109,029.20

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Solution

The fourth proportional to 269,020.40, 403,433.40 and 109,029.20 is: 163,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,020.40 : 403,433.40 = 109,029.20 : x
  2. Step 2: Convert to fraction form
    269,020.40/403,433.40 = 109,029.20/x
  3. Step 3: Cross multiply
    269,020.40x = 403,433.40 × 109,029.20
  4. Step 4: Simplify right side
    269,020.40x = 43,986,020,855.28
  5. Step 5: Solve for x
    x = 43,986,020,855.28/269,020.40
  6. Step 6: Final answer
    x = 163,504.41

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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.