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Finding the Fourth Proportional to 279,874.07, 419,946.09 and 137,642.19

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Solution

The fourth proportional to 279,874.07, 419,946.09 and 137,642.19 is: 206,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,874.07 : 419,946.09 = 137,642.19 : x
  2. Step 2: Convert to fraction form
    279,874.07/419,946.09 = 137,642.19/x
  3. Step 3: Cross multiply
    279,874.07x = 419,946.09 × 137,642.19
  4. Step 4: Simplify right side
    279,874.07x = 57,802,299,509.54
  5. Step 5: Solve for x
    x = 57,802,299,509.54/279,874.07
  6. Step 6: Final answer
    x = 206,529.67

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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.