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Finding the Fourth Proportional to 271,912.50, 407,910.12 and 138,720.02

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Solution

The fourth proportional to 271,912.50, 407,910.12 and 138,720.02 is: 208,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,912.50 : 407,910.12 = 138,720.02 : x
  2. Step 2: Convert to fraction form
    271,912.50/407,910.12 = 138,720.02/x
  3. Step 3: Cross multiply
    271,912.50x = 407,910.12 × 138,720.02
  4. Step 4: Simplify right side
    271,912.50x = 56,585,300,004.60
  5. Step 5: Solve for x
    x = 56,585,300,004.60/271,912.50
  6. Step 6: Final answer
    x = 208,101.14

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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.