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Finding the Fourth Proportional to 187,914.36, 259,171.16 and 165,205.20

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Solution

The fourth proportional to 187,914.36, 259,171.16 and 165,205.20 is: 227,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,914.36 : 259,171.16 = 165,205.20 : x
  2. Step 2: Convert to fraction form
    187,914.36/259,171.16 = 165,205.20/x
  3. Step 3: Cross multiply
    187,914.36x = 259,171.16 × 165,205.20
  4. Step 4: Simplify right side
    187,914.36x = 42,816,422,496.01
  5. Step 5: Solve for x
    x = 42,816,422,496.01/187,914.36
  6. Step 6: Final answer
    x = 227,850.72

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