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Finding the Fourth Proportional to 278,571.34, 418,059.92 and 101,092.65

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Solution

The fourth proportional to 278,571.34, 418,059.92 and 101,092.65 is: 151,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,571.34 : 418,059.92 = 101,092.65 : x
  2. Step 2: Convert to fraction form
    278,571.34/418,059.92 = 101,092.65/x
  3. Step 3: Cross multiply
    278,571.34x = 418,059.92 × 101,092.65
  4. Step 4: Simplify right side
    278,571.34x = 42,262,785,171.59
  5. Step 5: Solve for x
    x = 42,262,785,171.59/278,571.34
  6. Step 6: Final answer
    x = 151,712.61

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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.