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Finding the Fourth Proportional to 332,878.50, 499,321.38 and 96,223.23

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Solution

The fourth proportional to 332,878.50, 499,321.38 and 96,223.23 is: 144,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,878.50 : 499,321.38 = 96,223.23 : x
  2. Step 2: Convert to fraction form
    332,878.50/499,321.38 = 96,223.23/x
  3. Step 3: Cross multiply
    332,878.50x = 499,321.38 × 96,223.23
  4. Step 4: Simplify right side
    332,878.50x = 48,046,315,991.66
  5. Step 5: Solve for x
    x = 48,046,315,991.66/332,878.50
  6. Step 6: Final answer
    x = 144,335.89

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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.