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Finding the Fourth Proportional to 219,969.49, 303,557.91 and 119,367.49

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Solution

The fourth proportional to 219,969.49, 303,557.91 and 119,367.49 is: 164,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,969.49 : 303,557.91 = 119,367.49 : x
  2. Step 2: Convert to fraction form
    219,969.49/303,557.91 = 119,367.49/x
  3. Step 3: Cross multiply
    219,969.49x = 303,557.91 × 119,367.49
  4. Step 4: Simplify right side
    219,969.49x = 36,234,945,786.35
  5. Step 5: Solve for x
    x = 36,234,945,786.35/219,969.49
  6. Step 6: Final answer
    x = 164,727.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.