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Finding the Fourth Proportional to 208,636.75, 313,007.57 and 96,396.40

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Solution

The fourth proportional to 208,636.75, 313,007.57 and 96,396.40 is: 144,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,636.75 : 313,007.57 = 96,396.40 : x
  2. Step 2: Convert to fraction form
    208,636.75/313,007.57 = 96,396.40/x
  3. Step 3: Cross multiply
    208,636.75x = 313,007.57 × 96,396.40
  4. Step 4: Simplify right side
    208,636.75x = 30,172,802,920.75
  5. Step 5: Solve for x
    x = 30,172,802,920.75/208,636.75
  6. Step 6: Final answer
    x = 144,618.83

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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.