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Finding the Fourth Proportional to 225,877.68, 311,720.96 and 135,216.09

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Solution

The fourth proportional to 225,877.68, 311,720.96 and 135,216.09 is: 186,604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,877.68 : 311,720.96 = 135,216.09 : x
  2. Step 2: Convert to fraction form
    225,877.68/311,720.96 = 135,216.09/x
  3. Step 3: Cross multiply
    225,877.68x = 311,720.96 × 135,216.09
  4. Step 4: Simplify right side
    225,877.68x = 42,149,689,720.29
  5. Step 5: Solve for x
    x = 42,149,689,720.29/225,877.68
  6. Step 6: Final answer
    x = 186,604.05

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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.