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Finding the Fourth Proportional to 271,668.60, 407,114.10 and 200,032.20

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Solution

The fourth proportional to 271,668.60, 407,114.10 and 200,032.20 is: 299,762.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,668.60 : 407,114.10 = 200,032.20 : x
  2. Step 2: Convert to fraction form
    271,668.60/407,114.10 = 200,032.20/x
  3. Step 3: Cross multiply
    271,668.60x = 407,114.10 × 200,032.20
  4. Step 4: Simplify right side
    271,668.60x = 81,435,929,074.02
  5. Step 5: Solve for x
    x = 81,435,929,074.02/271,668.60
  6. Step 6: Final answer
    x = 299,762.02

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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.