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Finding the Fourth Proportional to 278,029.14, 417,093.12 and 100,783.73

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Solution

The fourth proportional to 278,029.14, 417,093.12 and 100,783.73 is: 151,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,029.14 : 417,093.12 = 100,783.73 : x
  2. Step 2: Convert to fraction form
    278,029.14/417,093.12 = 100,783.73/x
  3. Step 3: Cross multiply
    278,029.14x = 417,093.12 × 100,783.73
  4. Step 4: Simplify right side
    278,029.14x = 42,036,198,305.47
  5. Step 5: Solve for x
    x = 42,036,198,305.47/278,029.14
  6. Step 6: Final answer
    x = 151,193.50

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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.