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Finding the Fourth Proportional to 203,081.54, 304,441.47 and 96,399.68

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Solution

The fourth proportional to 203,081.54, 304,441.47 and 96,399.68 is: 144,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,081.54 : 304,441.47 = 96,399.68 : x
  2. Step 2: Convert to fraction form
    203,081.54/304,441.47 = 96,399.68/x
  3. Step 3: Cross multiply
    203,081.54x = 304,441.47 × 96,399.68
  4. Step 4: Simplify right side
    203,081.54x = 29,348,060,286.73
  5. Step 5: Solve for x
    x = 29,348,060,286.73/203,081.54
  6. Step 6: Final answer
    x = 144,513.68

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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.