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Finding the Fourth Proportional to 242,394.16, 363,757.30 and 84,622.60

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Solution

The fourth proportional to 242,394.16, 363,757.30 and 84,622.60 is: 126,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,394.16 : 363,757.30 = 84,622.60 : x
  2. Step 2: Convert to fraction form
    242,394.16/363,757.30 = 84,622.60/x
  3. Step 3: Cross multiply
    242,394.16x = 363,757.30 × 84,622.60
  4. Step 4: Simplify right side
    242,394.16x = 30,782,088,494.98
  5. Step 5: Solve for x
    x = 30,782,088,494.98/242,394.16
  6. Step 6: Final answer
    x = 126,991.87

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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.