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Finding the Fourth Proportional to 264,792.43, 397,146.73 and 114,992.55

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Solution

The fourth proportional to 264,792.43, 397,146.73 and 114,992.55 is: 172,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,792.43 : 397,146.73 = 114,992.55 : x
  2. Step 2: Convert to fraction form
    264,792.43/397,146.73 = 114,992.55/x
  3. Step 3: Cross multiply
    264,792.43x = 397,146.73 × 114,992.55
  4. Step 4: Simplify right side
    264,792.43x = 45,668,915,206.86
  5. Step 5: Solve for x
    x = 45,668,915,206.86/264,792.43
  6. Step 6: Final answer
    x = 172,470.62

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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.