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Finding the Fourth Proportional to 278,042.72, 417,096.50 and 100,633.28

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Solution

The fourth proportional to 278,042.72, 417,096.50 and 100,633.28 is: 150,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,042.72 : 417,096.50 = 100,633.28 : x
  2. Step 2: Convert to fraction form
    278,042.72/417,096.50 = 100,633.28/x
  3. Step 3: Cross multiply
    278,042.72x = 417,096.50 × 100,633.28
  4. Step 4: Simplify right side
    278,042.72x = 41,973,786,282.87
  5. Step 5: Solve for x
    x = 41,973,786,282.87/278,042.72
  6. Step 6: Final answer
    x = 150,961.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.