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Finding the Fourth Proportional to 318,503.26, 477,828.70 and 108,141.20

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Solution

The fourth proportional to 318,503.26, 477,828.70 and 108,141.20 is: 162,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,503.26 : 477,828.70 = 108,141.20 : x
  2. Step 2: Convert to fraction form
    318,503.26/477,828.70 = 108,141.20/x
  3. Step 3: Cross multiply
    318,503.26x = 477,828.70 × 108,141.20
  4. Step 4: Simplify right side
    318,503.26x = 51,672,969,012.44
  5. Step 5: Solve for x
    x = 51,672,969,012.44/318,503.26
  6. Step 6: Final answer
    x = 162,236.86

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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.