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Finding the Fourth Proportional to 217,109, 325,669.90 and 185,318.62

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Solution

The fourth proportional to 217,109, 325,669.90 and 185,318.62 is: 277,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,109 : 325,669.90 = 185,318.62 : x
  2. Step 2: Convert to fraction form
    217,109/325,669.90 = 185,318.62/x
  3. Step 3: Cross multiply
    217,109x = 325,669.90 × 185,318.62
  4. Step 4: Simplify right side
    217,109x = 60,352,696,443.54
  5. Step 5: Solve for x
    x = 60,352,696,443.54/217,109
  6. Step 6: Final answer
    x = 277,983.39

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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.