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Finding the Fourth Proportional to 301,337.93, 451,992.24 and 111,835.20

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Solution

The fourth proportional to 301,337.93, 451,992.24 and 111,835.20 is: 167,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,337.93 : 451,992.24 = 111,835.20 : x
  2. Step 2: Convert to fraction form
    301,337.93/451,992.24 = 111,835.20/x
  3. Step 3: Cross multiply
    301,337.93x = 451,992.24 × 111,835.20
  4. Step 4: Simplify right side
    301,337.93x = 50,548,644,253.82
  5. Step 5: Solve for x
    x = 50,548,644,253.82/301,337.93
  6. Step 6: Final answer
    x = 167,747.37

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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.