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Finding the Fourth Proportional to 271,241.20, 406,764.60 and 138,077.20

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Solution

The fourth proportional to 271,241.20, 406,764.60 and 138,077.20 is: 207,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,241.20 : 406,764.60 = 138,077.20 : x
  2. Step 2: Convert to fraction form
    271,241.20/406,764.60 = 138,077.20/x
  3. Step 3: Cross multiply
    271,241.20x = 406,764.60 × 138,077.20
  4. Step 4: Simplify right side
    271,241.20x = 56,164,917,027.12
  5. Step 5: Solve for x
    x = 56,164,917,027.12/271,241.20
  6. Step 6: Final answer
    x = 207,066.32

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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.