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Finding the Fourth Proportional to 274,419.48, 411,645.42 and 105,940.92

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Solution

The fourth proportional to 274,419.48, 411,645.42 and 105,940.92 is: 158,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,419.48 : 411,645.42 = 105,940.92 : x
  2. Step 2: Convert to fraction form
    274,419.48/411,645.42 = 105,940.92/x
  3. Step 3: Cross multiply
    274,419.48x = 411,645.42 × 105,940.92
  4. Step 4: Simplify right side
    274,419.48x = 43,610,094,508.59
  5. Step 5: Solve for x
    x = 43,610,094,508.59/274,419.48
  6. Step 6: Final answer
    x = 158,917.63

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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.