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Finding the Fourth Proportional to 271,409.90, 407,114.85 and 187,429.10

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Solution

The fourth proportional to 271,409.90, 407,114.85 and 187,429.10 is: 281,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,409.90 : 407,114.85 = 187,429.10 : x
  2. Step 2: Convert to fraction form
    271,409.90/407,114.85 = 187,429.10/x
  3. Step 3: Cross multiply
    271,409.90x = 407,114.85 × 187,429.10
  4. Step 4: Simplify right side
    271,409.90x = 76,305,169,932.14
  5. Step 5: Solve for x
    x = 76,305,169,932.14/271,409.90
  6. Step 6: Final answer
    x = 281,143.65

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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.