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Finding the Fourth Proportional to 271,208.80, 406,740.30 and 113,404.60

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Solution

The fourth proportional to 271,208.80, 406,740.30 and 113,404.60 is: 170,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,208.80 : 406,740.30 = 113,404.60 : x
  2. Step 2: Convert to fraction form
    271,208.80/406,740.30 = 113,404.60/x
  3. Step 3: Cross multiply
    271,208.80x = 406,740.30 × 113,404.60
  4. Step 4: Simplify right side
    271,208.80x = 46,126,221,025.38
  5. Step 5: Solve for x
    x = 46,126,221,025.38/271,208.80
  6. Step 6: Final answer
    x = 170,076.42

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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.