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Finding the Fourth Proportional to 242,205.64, 363,310.50 and 84,433.80

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Solution

The fourth proportional to 242,205.64, 363,310.50 and 84,433.80 is: 126,651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,205.64 : 363,310.50 = 84,433.80 : x
  2. Step 2: Convert to fraction form
    242,205.64/363,310.50 = 84,433.80/x
  3. Step 3: Cross multiply
    242,205.64x = 363,310.50 × 84,433.80
  4. Step 4: Simplify right side
    242,205.64x = 30,675,686,094.90
  5. Step 5: Solve for x
    x = 30,675,686,094.90/242,205.64
  6. Step 6: Final answer
    x = 126,651.41

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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.