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Finding the Fourth Proportional to 269,405.90, 404,082.61 and 109,491.42

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Solution

The fourth proportional to 269,405.90, 404,082.61 and 109,491.42 is: 164,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,405.90 : 404,082.61 = 109,491.42 : x
  2. Step 2: Convert to fraction form
    269,405.90/404,082.61 = 109,491.42/x
  3. Step 3: Cross multiply
    269,405.90x = 404,082.61 × 109,491.42
  4. Step 4: Simplify right side
    269,405.90x = 44,243,577,734.82
  5. Step 5: Solve for x
    x = 44,243,577,734.82/269,405.90
  6. Step 6: Final answer
    x = 164,226.46

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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.