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Finding the Fourth Proportional to 271,967.90, 408,097.65 and 114,212.30

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Solution

The fourth proportional to 271,967.90, 408,097.65 and 114,212.30 is: 171,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,967.90 : 408,097.65 = 114,212.30 : x
  2. Step 2: Convert to fraction form
    271,967.90/408,097.65 = 114,212.30/x
  3. Step 3: Cross multiply
    271,967.90x = 408,097.65 × 114,212.30
  4. Step 4: Simplify right side
    271,967.90x = 46,609,771,231.10
  5. Step 5: Solve for x
    x = 46,609,771,231.10/271,967.90
  6. Step 6: Final answer
    x = 171,379.68

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1.5x scale

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.