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Finding the Fourth Proportional to 301,208.85, 451,573.52 and 149,299.02

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Solution

The fourth proportional to 301,208.85, 451,573.52 and 149,299.02 is: 223,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,208.85 : 451,573.52 = 149,299.02 : x
  2. Step 2: Convert to fraction form
    301,208.85/451,573.52 = 149,299.02/x
  3. Step 3: Cross multiply
    301,208.85x = 451,573.52 × 149,299.02
  4. Step 4: Simplify right side
    301,208.85x = 67,419,483,247.46
  5. Step 5: Solve for x
    x = 67,419,483,247.46/301,208.85
  6. Step 6: Final answer
    x = 223,829.69

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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.