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Finding the Fourth Proportional to 242,422.80, 363,504.60 and 102,022.80

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Solution

The fourth proportional to 242,422.80, 363,504.60 and 102,022.80 is: 152,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,422.80 : 363,504.60 = 102,022.80 : x
  2. Step 2: Convert to fraction form
    242,422.80/363,504.60 = 102,022.80/x
  3. Step 3: Cross multiply
    242,422.80x = 363,504.60 × 102,022.80
  4. Step 4: Simplify right side
    242,422.80x = 37,085,757,104.88
  5. Step 5: Solve for x
    x = 37,085,757,104.88/242,422.80
  6. Step 6: Final answer
    x = 152,979.66

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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.