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Finding the Fourth Proportional to 180,851.40, 271,017.90 and 133,093.80

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Solution

The fourth proportional to 180,851.40, 271,017.90 and 133,093.80 is: 199,449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,851.40 : 271,017.90 = 133,093.80 : x
  2. Step 2: Convert to fraction form
    180,851.40/271,017.90 = 133,093.80/x
  3. Step 3: Cross multiply
    180,851.40x = 271,017.90 × 133,093.80
  4. Step 4: Simplify right side
    180,851.40x = 36,070,802,179.02
  5. Step 5: Solve for x
    x = 36,070,802,179.02/180,851.40
  6. Step 6: Final answer
    x = 199,449.95

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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.