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Finding the Fourth Proportional to 180,352.68, 270,553.62 and 75,147

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Solution

The fourth proportional to 180,352.68, 270,553.62 and 75,147 is: 112,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,352.68 : 270,553.62 = 75,147 : x
  2. Step 2: Convert to fraction form
    180,352.68/270,553.62 = 75,147/x
  3. Step 3: Cross multiply
    180,352.68x = 270,553.62 × 75,147
  4. Step 4: Simplify right side
    180,352.68x = 20,331,292,882.14
  5. Step 5: Solve for x
    x = 20,331,292,882.14/180,352.68
  6. Step 6: Final answer
    x = 112,730.75

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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.