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Finding the Fourth Proportional to 271,668.26, 407,590.94 and 136,662.65

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Solution

The fourth proportional to 271,668.26, 407,590.94 and 136,662.65 is: 205,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,668.26 : 407,590.94 = 136,662.65 : x
  2. Step 2: Convert to fraction form
    271,668.26/407,590.94 = 136,662.65/x
  3. Step 3: Cross multiply
    271,668.26x = 407,590.94 × 136,662.65
  4. Step 4: Simplify right side
    271,668.26x = 55,702,455,255.12
  5. Step 5: Solve for x
    x = 55,702,455,255.12/271,668.26
  6. Step 6: Final answer
    x = 205,038.51

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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.