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Finding the Fourth Proportional to 242,092.80, 363,091.20 and 84,330.24

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Solution

The fourth proportional to 242,092.80, 363,091.20 and 84,330.24 is: 126,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,092.80 : 363,091.20 = 84,330.24 : x
  2. Step 2: Convert to fraction form
    242,092.80/363,091.20 = 84,330.24/x
  3. Step 3: Cross multiply
    242,092.80x = 363,091.20 × 84,330.24
  4. Step 4: Simplify right side
    242,092.80x = 30,619,568,037.89
  5. Step 5: Solve for x
    x = 30,619,568,037.89/242,092.80
  6. Step 6: Final answer
    x = 126,478.64

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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.