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Finding the Fourth Proportional to 278,257.70, 417,338.15 and 128,485.32

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Solution

The fourth proportional to 278,257.70, 417,338.15 and 128,485.32 is: 192,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,257.70 : 417,338.15 = 128,485.32 : x
  2. Step 2: Convert to fraction form
    278,257.70/417,338.15 = 128,485.32/x
  3. Step 3: Cross multiply
    278,257.70x = 417,338.15 × 128,485.32
  4. Step 4: Simplify right side
    278,257.70x = 53,621,825,108.53
  5. Step 5: Solve for x
    x = 53,621,825,108.53/278,257.70
  6. Step 6: Final answer
    x = 192,705.63

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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.