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Finding the Fourth Proportional to 271,548.84, 407,343.25 and 71,867.88

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Solution

The fourth proportional to 271,548.84, 407,343.25 and 71,867.88 is: 107,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,548.84 : 407,343.25 = 71,867.88 : x
  2. Step 2: Convert to fraction form
    271,548.84/407,343.25 = 71,867.88/x
  3. Step 3: Cross multiply
    271,548.84x = 407,343.25 × 71,867.88
  4. Step 4: Simplify right side
    271,548.84x = 29,274,895,899.64
  5. Step 5: Solve for x
    x = 29,274,895,899.64/271,548.84
  6. Step 6: Final answer
    x = 107,807.11

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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.