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Finding the Fourth Proportional to 232,269, 348,438.15 and 82,496.73

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Solution

The fourth proportional to 232,269, 348,438.15 and 82,496.73 is: 123,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,269 : 348,438.15 = 82,496.73 : x
  2. Step 2: Convert to fraction form
    232,269/348,438.15 = 82,496.73/x
  3. Step 3: Cross multiply
    232,269x = 348,438.15 × 82,496.73
  4. Step 4: Simplify right side
    232,269x = 28,745,007,982.25
  5. Step 5: Solve for x
    x = 28,745,007,982.25/232,269
  6. Step 6: Final answer
    x = 123,757.40

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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.