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Finding the Fourth Proportional to 181,189.30, 271,506.84 and 75,950.86

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Solution

The fourth proportional to 181,189.30, 271,506.84 and 75,950.86 is: 113,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,189.30 : 271,506.84 = 75,950.86 : x
  2. Step 2: Convert to fraction form
    181,189.30/271,506.84 = 75,950.86/x
  3. Step 3: Cross multiply
    181,189.30x = 271,506.84 × 75,950.86
  4. Step 4: Simplify right side
    181,189.30x = 20,621,177,993.88
  5. Step 5: Solve for x
    x = 20,621,177,993.88/181,189.30
  6. Step 6: Final answer
    x = 113,810.13

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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.