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Finding the Fourth Proportional to 301,960.53, 453,039.21 and 152,189.30

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Solution

The fourth proportional to 301,960.53, 453,039.21 and 152,189.30 is: 228,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,960.53 : 453,039.21 = 152,189.30 : x
  2. Step 2: Convert to fraction form
    301,960.53/453,039.21 = 152,189.30/x
  3. Step 3: Cross multiply
    301,960.53x = 453,039.21 × 152,189.30
  4. Step 4: Simplify right side
    301,960.53x = 68,947,721,375.05
  5. Step 5: Solve for x
    x = 68,947,721,375.05/301,960.53
  6. Step 6: Final answer
    x = 228,333.56

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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.