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Finding the Fourth Proportional to 271,203.40, 406,805.10 and 74,211.40

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Solution

The fourth proportional to 271,203.40, 406,805.10 and 74,211.40 is: 111,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,203.40 : 406,805.10 = 74,211.40 : x
  2. Step 2: Convert to fraction form
    271,203.40/406,805.10 = 74,211.40/x
  3. Step 3: Cross multiply
    271,203.40x = 406,805.10 × 74,211.40
  4. Step 4: Simplify right side
    271,203.40x = 30,189,575,998.14
  5. Step 5: Solve for x
    x = 30,189,575,998.14/271,203.40
  6. Step 6: Final answer
    x = 111,317.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.