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Finding the Fourth Proportional to 180,682.20, 270,915.30 and 110,611.80

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Solution

The fourth proportional to 180,682.20, 270,915.30 and 110,611.80 is: 165,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,682.20 : 270,915.30 = 110,611.80 : x
  2. Step 2: Convert to fraction form
    180,682.20/270,915.30 = 110,611.80/x
  3. Step 3: Cross multiply
    180,682.20x = 270,915.30 × 110,611.80
  4. Step 4: Simplify right side
    180,682.20x = 29,966,428,980.54
  5. Step 5: Solve for x
    x = 29,966,428,980.54/180,682.20
  6. Step 6: Final answer
    x = 165,851.58

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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.