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Finding the Fourth Proportional to 278,097.20, 416,896.32 and 100,562.48

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Solution

The fourth proportional to 278,097.20, 416,896.32 and 100,562.48 is: 150,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,097.20 : 416,896.32 = 100,562.48 : x
  2. Step 2: Convert to fraction form
    278,097.20/416,896.32 = 100,562.48/x
  3. Step 3: Cross multiply
    278,097.20x = 416,896.32 × 100,562.48
  4. Step 4: Simplify right side
    278,097.20x = 41,924,127,842.07
  5. Step 5: Solve for x
    x = 41,924,127,842.07/278,097.20
  6. Step 6: Final answer
    x = 150,753.51

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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.