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Finding the Fourth Proportional to 180,536.30, 270,807.51 and 68,269.69

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Solution

The fourth proportional to 180,536.30, 270,807.51 and 68,269.69 is: 102,405.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,536.30 : 270,807.51 = 68,269.69 : x
  2. Step 2: Convert to fraction form
    180,536.30/270,807.51 = 68,269.69/x
  3. Step 3: Cross multiply
    180,536.30x = 270,807.51 × 68,269.69
  4. Step 4: Simplify right side
    180,536.30x = 18,487,944,757.37
  5. Step 5: Solve for x
    x = 18,487,944,757.37/180,536.30
  6. Step 6: Final answer
    x = 102,405.69

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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.