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Finding the Fourth Proportional to 279,852.72, 419,514.60 and 111,477

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Solution

The fourth proportional to 279,852.72, 419,514.60 and 111,477 is: 167,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,852.72 : 419,514.60 = 111,477 : x
  2. Step 2: Convert to fraction form
    279,852.72/419,514.60 = 111,477/x
  3. Step 3: Cross multiply
    279,852.72x = 419,514.60 × 111,477
  4. Step 4: Simplify right side
    279,852.72x = 46,766,229,064.20
  5. Step 5: Solve for x
    x = 46,766,229,064.20/279,852.72
  6. Step 6: Final answer
    x = 167,110.15

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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.