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Finding the Fourth Proportional to 301,208.56, 451,737.04 and 123,764.56

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Solution

The fourth proportional to 301,208.56, 451,737.04 and 123,764.56 is: 185,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,208.56 : 451,737.04 = 123,764.56 : x
  2. Step 2: Convert to fraction form
    301,208.56/451,737.04 = 123,764.56/x
  3. Step 3: Cross multiply
    301,208.56x = 451,737.04 × 123,764.56
  4. Step 4: Simplify right side
    301,208.56x = 55,909,035,991.30
  5. Step 5: Solve for x
    x = 55,909,035,991.30/301,208.56
  6. Step 6: Final answer
    x = 185,615.69

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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.