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Finding the Fourth Proportional to 269,454.98, 404,299.11 and 144,650.18

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Solution

The fourth proportional to 269,454.98, 404,299.11 and 144,650.18 is: 217,037.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,454.98 : 404,299.11 = 144,650.18 : x
  2. Step 2: Convert to fraction form
    269,454.98/404,299.11 = 144,650.18/x
  3. Step 3: Cross multiply
    269,454.98x = 404,299.11 × 144,650.18
  4. Step 4: Simplify right side
    269,454.98x = 58,481,939,035.34
  5. Step 5: Solve for x
    x = 58,481,939,035.34/269,454.98
  6. Step 6: Final answer
    x = 217,037.89

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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.