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Finding the Fourth Proportional to 272,438.20, 408,657.30 and 106,226.20

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Solution

The fourth proportional to 272,438.20, 408,657.30 and 106,226.20 is: 159,339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,438.20 : 408,657.30 = 106,226.20 : x
  2. Step 2: Convert to fraction form
    272,438.20/408,657.30 = 106,226.20/x
  3. Step 3: Cross multiply
    272,438.20x = 408,657.30 × 106,226.20
  4. Step 4: Simplify right side
    272,438.20x = 43,410,112,081.26
  5. Step 5: Solve for x
    x = 43,410,112,081.26/272,438.20
  6. Step 6: Final answer
    x = 159,339.30

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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.