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Finding the Fourth Proportional to 271,853.40, 407,446.92 and 122,055.24

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Solution

The fourth proportional to 271,853.40, 407,446.92 and 122,055.24 is: 182,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,853.40 : 407,446.92 = 122,055.24 : x
  2. Step 2: Convert to fraction form
    271,853.40/407,446.92 = 122,055.24/x
  3. Step 3: Cross multiply
    271,853.40x = 407,446.92 × 122,055.24
  4. Step 4: Simplify right side
    271,853.40x = 49,731,031,607.86
  5. Step 5: Solve for x
    x = 49,731,031,607.86/271,853.40
  6. Step 6: Final answer
    x = 182,933.27

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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.