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Finding the Fourth Proportional to 203,188.80, 304,264.80 and 161,716.80

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Solution

The fourth proportional to 203,188.80, 304,264.80 and 161,716.80 is: 242,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,188.80 : 304,264.80 = 161,716.80 : x
  2. Step 2: Convert to fraction form
    203,188.80/304,264.80 = 161,716.80/x
  3. Step 3: Cross multiply
    203,188.80x = 304,264.80 × 161,716.80
  4. Step 4: Simplify right side
    203,188.80x = 49,204,729,808.64
  5. Step 5: Solve for x
    x = 49,204,729,808.64/203,188.80
  6. Step 6: Final answer
    x = 242,162.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.