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Finding the Fourth Proportional to 203,232.14, 280,507.02 and 135,252

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Solution

The fourth proportional to 203,232.14, 280,507.02 and 135,252 is: 186,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,232.14 : 280,507.02 = 135,252 : x
  2. Step 2: Convert to fraction form
    203,232.14/280,507.02 = 135,252/x
  3. Step 3: Cross multiply
    203,232.14x = 280,507.02 × 135,252
  4. Step 4: Simplify right side
    203,232.14x = 37,939,135,469.04
  5. Step 5: Solve for x
    x = 37,939,135,469.04/203,232.14
  6. Step 6: Final answer
    x = 186,678.82

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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.