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Finding the Fourth Proportional to 180,941.88, 271,415.13 and 47,820.99

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Solution

The fourth proportional to 180,941.88, 271,415.13 and 47,820.99 is: 71,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,941.88 : 271,415.13 = 47,820.99 : x
  2. Step 2: Convert to fraction form
    180,941.88/271,415.13 = 47,820.99/x
  3. Step 3: Cross multiply
    180,941.88x = 271,415.13 × 47,820.99
  4. Step 4: Simplify right side
    180,941.88x = 12,979,338,860.50
  5. Step 5: Solve for x
    x = 12,979,338,860.50/180,941.88
  6. Step 6: Final answer
    x = 71,732.09

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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.