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Finding the Fourth Proportional to 199,970.87, 275,964.17 and 119,383.34

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Solution

The fourth proportional to 199,970.87, 275,964.17 and 119,383.34 is: 164,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,970.87 : 275,964.17 = 119,383.34 : x
  2. Step 2: Convert to fraction form
    199,970.87/275,964.17 = 119,383.34/x
  3. Step 3: Cross multiply
    199,970.87x = 275,964.17 × 119,383.34
  4. Step 4: Simplify right side
    199,970.87x = 32,945,522,358.19
  5. Step 5: Solve for x
    x = 32,945,522,358.19/199,970.87
  6. Step 6: Final answer
    x = 164,751.61

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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.