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Finding the Fourth Proportional to 311,181.10, 429,525.11 and 182,149.75

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Solution

The fourth proportional to 311,181.10, 429,525.11 and 182,149.75 is: 251,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,181.10 : 429,525.11 = 182,149.75 : x
  2. Step 2: Convert to fraction form
    311,181.10/429,525.11 = 182,149.75/x
  3. Step 3: Cross multiply
    311,181.10x = 429,525.11 × 182,149.75
  4. Step 4: Simplify right side
    311,181.10x = 78,237,892,397.50
  5. Step 5: Solve for x
    x = 78,237,892,397.50/311,181.10
  6. Step 6: Final answer
    x = 251,422.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.