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Finding the Fourth Proportional to 269,514.86, 371,932.26 and 148,659.42

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Solution

The fourth proportional to 269,514.86, 371,932.26 and 148,659.42 is: 205,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,514.86 : 371,932.26 = 148,659.42 : x
  2. Step 2: Convert to fraction form
    269,514.86/371,932.26 = 148,659.42/x
  3. Step 3: Cross multiply
    269,514.86x = 371,932.26 × 148,659.42
  4. Step 4: Simplify right side
    269,514.86x = 55,291,234,050.89
  5. Step 5: Solve for x
    x = 55,291,234,050.89/269,514.86
  6. Step 6: Final answer
    x = 205,150.97

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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.