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Finding the Fourth Proportional to 332,197.32, 497,999.70 and 121,786.20

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Solution

The fourth proportional to 332,197.32, 497,999.70 and 121,786.20 is: 182,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,197.32 : 497,999.70 = 121,786.20 : x
  2. Step 2: Convert to fraction form
    332,197.32/497,999.70 = 121,786.20/x
  3. Step 3: Cross multiply
    332,197.32x = 497,999.70 × 121,786.20
  4. Step 4: Simplify right side
    332,197.32x = 60,649,491,064.14
  5. Step 5: Solve for x
    x = 60,649,491,064.14/332,197.32
  6. Step 6: Final answer
    x = 182,570.68

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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.