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Finding the Fourth Proportional to 188,190.81, 259,824.92 and 116,646.75

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Solution

The fourth proportional to 188,190.81, 259,824.92 and 116,646.75 is: 161,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,190.81 : 259,824.92 = 116,646.75 : x
  2. Step 2: Convert to fraction form
    188,190.81/259,824.92 = 116,646.75/x
  3. Step 3: Cross multiply
    188,190.81x = 259,824.92 × 116,646.75
  4. Step 4: Simplify right side
    188,190.81x = 30,307,731,903.78
  5. Step 5: Solve for x
    x = 30,307,731,903.78/188,190.81
  6. Step 6: Final answer
    x = 161,047.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.