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Finding the Fourth Proportional to 279,460.26, 419,252.24 and 101,966.76

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Solution

The fourth proportional to 279,460.26, 419,252.24 and 101,966.76 is: 152,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,460.26 : 419,252.24 = 101,966.76 : x
  2. Step 2: Convert to fraction form
    279,460.26/419,252.24 = 101,966.76/x
  3. Step 3: Cross multiply
    279,460.26x = 419,252.24 × 101,966.76
  4. Step 4: Simplify right side
    279,460.26x = 42,749,792,535.54
  5. Step 5: Solve for x
    x = 42,749,792,535.54/279,460.26
  6. Step 6: Final answer
    x = 152,972.71

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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.