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Finding the Fourth Proportional to 278,042.90, 417,096.74 and 100,633.46

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Solution

The fourth proportional to 278,042.90, 417,096.74 and 100,633.46 is: 150,961.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,042.90 : 417,096.74 = 100,633.46 : x
  2. Step 2: Convert to fraction form
    278,042.90/417,096.74 = 100,633.46/x
  3. Step 3: Cross multiply
    278,042.90x = 417,096.74 × 100,633.46
  4. Step 4: Simplify right side
    278,042.90x = 41,973,886,267.02
  5. Step 5: Solve for x
    x = 41,973,886,267.02/278,042.90
  6. Step 6: Final answer
    x = 150,961.91

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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.