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Finding the Fourth Proportional to 303,765.12, 419,187.75 and 167,796.15

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Solution

The fourth proportional to 303,765.12, 419,187.75 and 167,796.15 is: 231,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,765.12 : 419,187.75 = 167,796.15 : x
  2. Step 2: Convert to fraction form
    303,765.12/419,187.75 = 167,796.15/x
  3. Step 3: Cross multiply
    303,765.12x = 419,187.75 × 167,796.15
  4. Step 4: Simplify right side
    303,765.12x = 70,338,088,375.97
  5. Step 5: Solve for x
    x = 70,338,088,375.97/303,765.12
  6. Step 6: Final answer
    x = 231,554.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.