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Finding the Fourth Proportional to 269,321.89, 403,993.05 and 100,824.52

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Solution

The fourth proportional to 269,321.89, 403,993.05 and 100,824.52 is: 151,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,321.89 : 403,993.05 = 100,824.52 : x
  2. Step 2: Convert to fraction form
    269,321.89/403,993.05 = 100,824.52/x
  3. Step 3: Cross multiply
    269,321.89x = 403,993.05 × 100,824.52
  4. Step 4: Simplify right side
    269,321.89x = 40,732,405,349.59
  5. Step 5: Solve for x
    x = 40,732,405,349.59/269,321.89
  6. Step 6: Final answer
    x = 151,240.60

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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.