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Finding the Fourth Proportional to 271,355.16, 407,052.19 and 71,673.56

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Solution

The fourth proportional to 271,355.16, 407,052.19 and 71,673.56 is: 107,515.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,355.16 : 407,052.19 = 71,673.56 : x
  2. Step 2: Convert to fraction form
    271,355.16/407,052.19 = 71,673.56/x
  3. Step 3: Cross multiply
    271,355.16x = 407,052.19 × 71,673.56
  4. Step 4: Simplify right side
    271,355.16x = 29,174,879,563.10
  5. Step 5: Solve for x
    x = 29,174,879,563.10/271,355.16
  6. Step 6: Final answer
    x = 107,515.48

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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.