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Finding the Fourth Proportional to 309,108.52, 462,902.46 and 150,826.60

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Solution

The fourth proportional to 309,108.52, 462,902.46 and 150,826.60 is: 225,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,108.52 : 462,902.46 = 150,826.60 : x
  2. Step 2: Convert to fraction form
    309,108.52/462,902.46 = 150,826.60/x
  3. Step 3: Cross multiply
    309,108.52x = 462,902.46 × 150,826.60
  4. Step 4: Simplify right side
    309,108.52x = 69,818,004,173.44
  5. Step 5: Solve for x
    x = 69,818,004,173.44/309,108.52
  6. Step 6: Final answer
    x = 225,868.91

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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.