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Finding the Fourth Proportional to 180,610.92, 270,785.16 and 75,459.96

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Solution

The fourth proportional to 180,610.92, 270,785.16 and 75,459.96 is: 113,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,610.92 : 270,785.16 = 75,459.96 : x
  2. Step 2: Convert to fraction form
    180,610.92/270,785.16 = 75,459.96/x
  3. Step 3: Cross multiply
    180,610.92x = 270,785.16 × 75,459.96
  4. Step 4: Simplify right side
    180,610.92x = 20,433,437,342.19
  5. Step 5: Solve for x
    x = 20,433,437,342.19/180,610.92
  6. Step 6: Final answer
    x = 113,135.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.