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Finding the Fourth Proportional to 271,180.34, 406,724.27 and 71,502.69

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Solution

The fourth proportional to 271,180.34, 406,724.27 and 71,502.69 is: 107,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,180.34 : 406,724.27 = 71,502.69 : x
  2. Step 2: Convert to fraction form
    271,180.34/406,724.27 = 71,502.69/x
  3. Step 3: Cross multiply
    271,180.34x = 406,724.27 × 71,502.69
  4. Step 4: Simplify right side
    271,180.34x = 29,081,879,393.29
  5. Step 5: Solve for x
    x = 29,081,879,393.29/271,180.34
  6. Step 6: Final answer
    x = 107,241.84

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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.