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Finding the Fourth Proportional to 488,902.82, 733,354.84 and 133,919.92

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Solution

The fourth proportional to 488,902.82, 733,354.84 and 133,919.92 is: 200,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,902.82 : 733,354.84 = 133,919.92 : x
  2. Step 2: Convert to fraction form
    488,902.82/733,354.84 = 133,919.92/x
  3. Step 3: Cross multiply
    488,902.82x = 733,354.84 × 133,919.92
  4. Step 4: Simplify right side
    488,902.82x = 98,210,821,504.41
  5. Step 5: Solve for x
    x = 98,210,821,504.41/488,902.82
  6. Step 6: Final answer
    x = 200,880.05

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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.