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Finding the Fourth Proportional to 120,506.70, 180,759.15 and 36,266.49

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Solution

The fourth proportional to 120,506.70, 180,759.15 and 36,266.49 is: 54,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,506.70 : 180,759.15 = 36,266.49 : x
  2. Step 2: Convert to fraction form
    120,506.70/180,759.15 = 36,266.49/x
  3. Step 3: Cross multiply
    120,506.70x = 180,759.15 × 36,266.49
  4. Step 4: Simplify right side
    120,506.70x = 6,555,499,905.88
  5. Step 5: Solve for x
    x = 6,555,499,905.88/120,506.70
  6. Step 6: Final answer
    x = 54,399.46

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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.