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Finding the Fourth Proportional to 271,249.86, 406,828.35 and 71,572.32

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Solution

The fourth proportional to 271,249.86, 406,828.35 and 71,572.32 is: 107,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,249.86 : 406,828.35 = 71,572.32 : x
  2. Step 2: Convert to fraction form
    271,249.86/406,828.35 = 71,572.32/x
  3. Step 3: Cross multiply
    271,249.86x = 406,828.35 × 71,572.32
  4. Step 4: Simplify right side
    271,249.86x = 29,117,648,851.27
  5. Step 5: Solve for x
    x = 29,117,648,851.27/271,249.86
  6. Step 6: Final answer
    x = 107,346.23

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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.