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Finding the Fourth Proportional to 242,546.96, 363,821.12 and 84,775.43

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Solution

The fourth proportional to 242,546.96, 363,821.12 and 84,775.43 is: 127,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,546.96 : 363,821.12 = 84,775.43 : x
  2. Step 2: Convert to fraction form
    242,546.96/363,821.12 = 84,775.43/x
  3. Step 3: Cross multiply
    242,546.96x = 363,821.12 × 84,775.43
  4. Step 4: Simplify right side
    242,546.96x = 30,843,091,891.08
  5. Step 5: Solve for x
    x = 30,843,091,891.08/242,546.96
  6. Step 6: Final answer
    x = 127,163.38

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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.