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Finding the Fourth Proportional to 331,202.80, 496,804.20 and 81,884.80

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Solution

The fourth proportional to 331,202.80, 496,804.20 and 81,884.80 is: 122,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,202.80 : 496,804.20 = 81,884.80 : x
  2. Step 2: Convert to fraction form
    331,202.80/496,804.20 = 81,884.80/x
  3. Step 3: Cross multiply
    331,202.80x = 496,804.20 × 81,884.80
  4. Step 4: Simplify right side
    331,202.80x = 40,680,712,556.16
  5. Step 5: Solve for x
    x = 40,680,712,556.16/331,202.80
  6. Step 6: Final answer
    x = 122,827.20

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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.