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Finding the Fourth Proportional to 271,358.51, 407,057.18 and 71,676.90

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Solution

The fourth proportional to 271,358.51, 407,057.18 and 71,676.90 is: 107,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,358.51 : 407,057.18 = 71,676.90 : x
  2. Step 2: Convert to fraction form
    271,358.51/407,057.18 = 71,676.90/x
  3. Step 3: Cross multiply
    271,358.51x = 407,057.18 × 71,676.90
  4. Step 4: Simplify right side
    271,358.51x = 29,176,596,426.76
  5. Step 5: Solve for x
    x = 29,176,596,426.76/271,358.51
  6. Step 6: Final answer
    x = 107,520.48

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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.