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Finding the Fourth Proportional to 269,046.37, 403,514.47 and 100,535.59

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Solution

The fourth proportional to 269,046.37, 403,514.47 and 100,535.59 is: 150,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,046.37 : 403,514.47 = 100,535.59 : x
  2. Step 2: Convert to fraction form
    269,046.37/403,514.47 = 100,535.59/x
  3. Step 3: Cross multiply
    269,046.37x = 403,514.47 × 100,535.59
  4. Step 4: Simplify right side
    269,046.37x = 40,567,564,054.86
  5. Step 5: Solve for x
    x = 40,567,564,054.86/269,046.37
  6. Step 6: Final answer
    x = 150,782.80

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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.