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Finding the Fourth Proportional to 271,546.88, 407,331.84 and 166,300.16

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Solution

The fourth proportional to 271,546.88, 407,331.84 and 166,300.16 is: 249,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,546.88 : 407,331.84 = 166,300.16 : x
  2. Step 2: Convert to fraction form
    271,546.88/407,331.84 = 166,300.16/x
  3. Step 3: Cross multiply
    271,546.88x = 407,331.84 × 166,300.16
  4. Step 4: Simplify right side
    271,546.88x = 67,739,350,165.09
  5. Step 5: Solve for x
    x = 67,739,350,165.09/271,546.88
  6. Step 6: Final answer
    x = 249,457.30

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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.