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Finding the Fourth Proportional to 332,793, 499,193.34 and 96,138.28

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Solution

The fourth proportional to 332,793, 499,193.34 and 96,138.28 is: 144,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,793 : 499,193.34 = 96,138.28 : x
  2. Step 2: Convert to fraction form
    332,793/499,193.34 = 96,138.28/x
  3. Step 3: Cross multiply
    332,793x = 499,193.34 × 96,138.28
  4. Step 4: Simplify right side
    332,793x = 47,991,589,095.06
  5. Step 5: Solve for x
    x = 47,991,589,095.06/332,793
  6. Step 6: Final answer
    x = 144,208.53

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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.