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Finding the Fourth Proportional to 120,462.53, 180,573.51 and 80,515.16

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Solution

The fourth proportional to 120,462.53, 180,573.51 and 80,515.16 is: 120,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,462.53 : 180,573.51 = 80,515.16 : x
  2. Step 2: Convert to fraction form
    120,462.53/180,573.51 = 80,515.16/x
  3. Step 3: Cross multiply
    120,462.53x = 180,573.51 × 80,515.16
  4. Step 4: Simplify right side
    120,462.53x = 14,538,905,049.41
  5. Step 5: Solve for x
    x = 14,538,905,049.41/120,462.53
  6. Step 6: Final answer
    x = 120,692.34

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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.