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Finding the Fourth Proportional to 180,466.20, 270,646.74 and 54,101.40

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Solution

The fourth proportional to 180,466.20, 270,646.74 and 54,101.40 is: 81,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,466.20 : 270,646.74 = 54,101.40 : x
  2. Step 2: Convert to fraction form
    180,466.20/270,646.74 = 54,101.40/x
  3. Step 3: Cross multiply
    180,466.20x = 270,646.74 × 54,101.40
  4. Step 4: Simplify right side
    180,466.20x = 14,642,367,539.44
  5. Step 5: Solve for x
    x = 14,642,367,539.44/180,466.20
  6. Step 6: Final answer
    x = 81,136.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.