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Finding the Fourth Proportional to 271,682.60, 407,718.30 and 114,024.20

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Solution

The fourth proportional to 271,682.60, 407,718.30 and 114,024.20 is: 171,117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,682.60 : 407,718.30 = 114,024.20 : x
  2. Step 2: Convert to fraction form
    271,682.60/407,718.30 = 114,024.20/x
  3. Step 3: Cross multiply
    271,682.60x = 407,718.30 × 114,024.20
  4. Step 4: Simplify right side
    271,682.60x = 46,489,752,982.86
  5. Step 5: Solve for x
    x = 46,489,752,982.86/271,682.60
  6. Step 6: Final answer
    x = 171,117.89

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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.