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Finding the Fourth Proportional to 120,308.26, 180,472.10 and 37,202.26

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Solution

The fourth proportional to 120,308.26, 180,472.10 and 37,202.26 is: 55,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,308.26 : 180,472.10 = 37,202.26 : x
  2. Step 2: Convert to fraction form
    120,308.26/180,472.10 = 37,202.26/x
  3. Step 3: Cross multiply
    120,308.26x = 180,472.10 × 37,202.26
  4. Step 4: Simplify right side
    120,308.26x = 6,713,969,986.95
  5. Step 5: Solve for x
    x = 6,713,969,986.95/120,308.26
  6. Step 6: Final answer
    x = 55,806.39

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1.5x scale

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.