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Finding the Fourth Proportional to 271,914.50, 407,913.12 and 138,722.02

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Solution

The fourth proportional to 271,914.50, 407,913.12 and 138,722.02 is: 208,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914.50 : 407,913.12 = 138,722.02 : x
  2. Step 2: Convert to fraction form
    271,914.50/407,913.12 = 138,722.02/x
  3. Step 3: Cross multiply
    271,914.50x = 407,913.12 × 138,722.02
  4. Step 4: Simplify right side
    271,914.50x = 56,586,531,990.90
  5. Step 5: Solve for x
    x = 56,586,531,990.90/271,914.50
  6. Step 6: Final answer
    x = 208,104.14

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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.