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Finding the Fourth Proportional to 251,917.16, 347,670.23 and 188,144.24

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Solution

The fourth proportional to 251,917.16, 347,670.23 and 188,144.24 is: 259,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,917.16 : 347,670.23 = 188,144.24 : x
  2. Step 2: Convert to fraction form
    251,917.16/347,670.23 = 188,144.24/x
  3. Step 3: Cross multiply
    251,917.16x = 347,670.23 × 188,144.24
  4. Step 4: Simplify right side
    251,917.16x = 65,412,148,514.90
  5. Step 5: Solve for x
    x = 65,412,148,514.90/251,917.16
  6. Step 6: Final answer
    x = 259,657.38

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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.