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Finding the Fourth Proportional to 331,173.82, 496,796.10 and 141,653.80

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Solution

The fourth proportional to 331,173.82, 496,796.10 and 141,653.80 is: 212,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,173.82 : 496,796.10 = 141,653.80 : x
  2. Step 2: Convert to fraction form
    331,173.82/496,796.10 = 141,653.80/x
  3. Step 3: Cross multiply
    331,173.82x = 496,796.10 × 141,653.80
  4. Step 4: Simplify right side
    331,173.82x = 70,373,055,390.18
  5. Step 5: Solve for x
    x = 70,373,055,390.18/331,173.82
  6. Step 6: Final answer
    x = 212,495.83

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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.