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Finding the Fourth Proportional to 180,556.12, 270,859.40 and 75,351

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Solution

The fourth proportional to 180,556.12, 270,859.40 and 75,351 is: 113,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,556.12 : 270,859.40 = 75,351 : x
  2. Step 2: Convert to fraction form
    180,556.12/270,859.40 = 75,351/x
  3. Step 3: Cross multiply
    180,556.12x = 270,859.40 × 75,351
  4. Step 4: Simplify right side
    180,556.12x = 20,409,526,649.40
  5. Step 5: Solve for x
    x = 20,409,526,649.40/180,556.12
  6. Step 6: Final answer
    x = 113,037.02

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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.