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Finding the Fourth Proportional to 269,230.24, 403,856.88 and 100,734.88

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Solution

The fourth proportional to 269,230.24, 403,856.88 and 100,734.88 is: 151,106.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,230.24 : 403,856.88 = 100,734.88 : x
  2. Step 2: Convert to fraction form
    269,230.24/403,856.88 = 100,734.88/x
  3. Step 3: Cross multiply
    269,230.24x = 403,856.88 × 100,734.88
  4. Step 4: Simplify right side
    269,230.24x = 40,682,474,343.97
  5. Step 5: Solve for x
    x = 40,682,474,343.97/269,230.24
  6. Step 6: Final answer
    x = 151,106.63

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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.