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Finding the Fourth Proportional to 274,895.28, 412,212.60 and 106,494.48

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Solution

The fourth proportional to 274,895.28, 412,212.60 and 106,494.48 is: 159,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,895.28 : 412,212.60 = 106,494.48 : x
  2. Step 2: Convert to fraction form
    274,895.28/412,212.60 = 106,494.48/x
  3. Step 3: Cross multiply
    274,895.28x = 412,212.60 × 106,494.48
  4. Step 4: Simplify right side
    274,895.28x = 43,898,366,486.45
  5. Step 5: Solve for x
    x = 43,898,366,486.45/274,895.28
  6. Step 6: Final answer
    x = 159,691.23

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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.