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Finding the Fourth Proportional to 188,129.40, 282,191 and 75,806.88

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Solution

The fourth proportional to 188,129.40, 282,191 and 75,806.88 is: 113,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,129.40 : 282,191 = 75,806.88 : x
  2. Step 2: Convert to fraction form
    188,129.40/282,191 = 75,806.88/x
  3. Step 3: Cross multiply
    188,129.40x = 282,191 × 75,806.88
  4. Step 4: Simplify right side
    188,129.40x = 21,392,019,274.08
  5. Step 5: Solve for x
    x = 21,392,019,274.08/188,129.40
  6. Step 6: Final answer
    x = 113,709.07

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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.