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Finding the Fourth Proportional to 271,214.10, 406,821.15 and 74,222.10

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Solution

The fourth proportional to 271,214.10, 406,821.15 and 74,222.10 is: 111,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,214.10 : 406,821.15 = 74,222.10 : x
  2. Step 2: Convert to fraction form
    271,214.10/406,821.15 = 74,222.10/x
  3. Step 3: Cross multiply
    271,214.10x = 406,821.15 × 74,222.10
  4. Step 4: Simplify right side
    271,214.10x = 30,195,120,077.42
  5. Step 5: Solve for x
    x = 30,195,120,077.42/271,214.10
  6. Step 6: Final answer
    x = 111,333.15

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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.