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Finding the Fourth Proportional to 271,369.46, 407,073.70 and 71,687.90

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Solution

The fourth proportional to 271,369.46, 407,073.70 and 71,687.90 is: 107,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,369.46 : 407,073.70 = 71,687.90 : x
  2. Step 2: Convert to fraction form
    271,369.46/407,073.70 = 71,687.90/x
  3. Step 3: Cross multiply
    271,369.46x = 407,073.70 × 71,687.90
  4. Step 4: Simplify right side
    271,369.46x = 29,182,258,698.23
  5. Step 5: Solve for x
    x = 29,182,258,698.23/271,369.46
  6. Step 6: Final answer
    x = 107,537.00

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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.