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Finding the Fourth Proportional to 274,042.26, 410,814.27 and 105,455.07

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Solution

The fourth proportional to 274,042.26, 410,814.27 and 105,455.07 is: 158,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,042.26 : 410,814.27 = 105,455.07 : x
  2. Step 2: Convert to fraction form
    274,042.26/410,814.27 = 105,455.07/x
  3. Step 3: Cross multiply
    274,042.26x = 410,814.27 × 105,455.07
  4. Step 4: Simplify right side
    274,042.26x = 43,322,447,599.85
  5. Step 5: Solve for x
    x = 43,322,447,599.85/274,042.26
  6. Step 6: Final answer
    x = 158,086.74

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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.