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Finding the Fourth Proportional to 181,104.30, 271,655.10 and 54,744.30

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Solution

The fourth proportional to 181,104.30, 271,655.10 and 54,744.30 is: 82,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,104.30 : 271,655.10 = 54,744.30 : x
  2. Step 2: Convert to fraction form
    181,104.30/271,655.10 = 54,744.30/x
  3. Step 3: Cross multiply
    181,104.30x = 271,655.10 × 54,744.30
  4. Step 4: Simplify right side
    181,104.30x = 14,871,568,290.93
  5. Step 5: Solve for x
    x = 14,871,568,290.93/181,104.30
  6. Step 6: Final answer
    x = 82,116.04

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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.