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Finding the Fourth Proportional to 278,053.36, 417,138.36 and 120,304.24

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Solution

The fourth proportional to 278,053.36, 417,138.36 and 120,304.24 is: 180,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,053.36 : 417,138.36 = 120,304.24 : x
  2. Step 2: Convert to fraction form
    278,053.36/417,138.36 = 120,304.24/x
  3. Step 3: Cross multiply
    278,053.36x = 417,138.36 × 120,304.24
  4. Step 4: Simplify right side
    278,053.36x = 50,183,513,374.65
  5. Step 5: Solve for x
    x = 50,183,513,374.65/278,053.36
  6. Step 6: Final answer
    x = 180,481.59

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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.