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Finding the Fourth Proportional to 180,609, 270,309.06 and 178,219.32

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Solution

The fourth proportional to 180,609, 270,309.06 and 178,219.32 is: 266,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,609 : 270,309.06 = 178,219.32 : x
  2. Step 2: Convert to fraction form
    180,609/270,309.06 = 178,219.32/x
  3. Step 3: Cross multiply
    180,609x = 270,309.06 × 178,219.32
  4. Step 4: Simplify right side
    180,609x = 48,174,296,863.04
  5. Step 5: Solve for x
    x = 48,174,296,863.04/180,609
  6. Step 6: Final answer
    x = 266,732.54

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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.