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Finding the Fourth Proportional to 269,103.67, 403,728.37 and 100,641.10

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Solution

The fourth proportional to 269,103.67, 403,728.37 and 100,641.10 is: 150,988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,103.67 : 403,728.37 = 100,641.10 : x
  2. Step 2: Convert to fraction form
    269,103.67/403,728.37 = 100,641.10/x
  3. Step 3: Cross multiply
    269,103.67x = 403,728.37 × 100,641.10
  4. Step 4: Simplify right side
    269,103.67x = 40,631,667,764.12
  5. Step 5: Solve for x
    x = 40,631,667,764.12/269,103.67
  6. Step 6: Final answer
    x = 150,988.91

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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.