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Finding the Fourth Proportional to 274,159.58, 410,896.87 and 131,978.43

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Solution

The fourth proportional to 274,159.58, 410,896.87 and 131,978.43 is: 197,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,159.58 : 410,896.87 = 131,978.43 : x
  2. Step 2: Convert to fraction form
    274,159.58/410,896.87 = 131,978.43/x
  3. Step 3: Cross multiply
    274,159.58x = 410,896.87 × 131,978.43
  4. Step 4: Simplify right side
    274,159.58x = 54,229,523,464.57
  5. Step 5: Solve for x
    x = 54,229,523,464.57/274,159.58
  6. Step 6: Final answer
    x = 197,802.77

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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.