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Finding the Fourth Proportional to 271,596.84, 407,348.28 and 71,920.10

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Solution

The fourth proportional to 271,596.84, 407,348.28 and 71,920.10 is: 107,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,596.84 : 407,348.28 = 71,920.10 : x
  2. Step 2: Convert to fraction form
    271,596.84/407,348.28 = 71,920.10/x
  3. Step 3: Cross multiply
    271,596.84x = 407,348.28 × 71,920.10
  4. Step 4: Simplify right side
    271,596.84x = 29,296,526,995.69
  5. Step 5: Solve for x
    x = 29,296,526,995.69/271,596.84
  6. Step 6: Final answer
    x = 107,867.70

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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.