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Finding the Fourth Proportional to 265,231.20, 397,846.80 and 107,464.80

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Solution

The fourth proportional to 265,231.20, 397,846.80 and 107,464.80 is: 161,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,231.20 : 397,846.80 = 107,464.80 : x
  2. Step 2: Convert to fraction form
    265,231.20/397,846.80 = 107,464.80/x
  3. Step 3: Cross multiply
    265,231.20x = 397,846.80 × 107,464.80
  4. Step 4: Simplify right side
    265,231.20x = 42,754,526,792.64
  5. Step 5: Solve for x
    x = 42,754,526,792.64/265,231.20
  6. Step 6: Final answer
    x = 161,197.20

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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.