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Finding the Fourth Proportional to 271,354.16, 407,050.69 and 71,672.56

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Solution

The fourth proportional to 271,354.16, 407,050.69 and 71,672.56 is: 107,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,354.16 : 407,050.69 = 71,672.56 : x
  2. Step 2: Convert to fraction form
    271,354.16/407,050.69 = 71,672.56/x
  3. Step 3: Cross multiply
    271,354.16x = 407,050.69 × 71,672.56
  4. Step 4: Simplify right side
    271,354.16x = 29,174,363,805.26
  5. Step 5: Solve for x
    x = 29,174,363,805.26/271,354.16
  6. Step 6: Final answer
    x = 107,513.97

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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.