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Finding the Fourth Proportional to 300,190.54, 450,462.60 and 110,784.18

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Solution

The fourth proportional to 300,190.54, 450,462.60 and 110,784.18 is: 166,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,190.54 : 450,462.60 = 110,784.18 : x
  2. Step 2: Convert to fraction form
    300,190.54/450,462.60 = 110,784.18/x
  3. Step 3: Cross multiply
    300,190.54x = 450,462.60 × 110,784.18
  4. Step 4: Simplify right side
    300,190.54x = 49,904,129,761.67
  5. Step 5: Solve for x
    x = 49,904,129,761.67/300,190.54
  6. Step 6: Final answer
    x = 166,241.51

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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.