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Finding the Fourth Proportional to 192,939.70, 289,312.35 and 114,078.10

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Solution

The fourth proportional to 192,939.70, 289,312.35 and 114,078.10 is: 171,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,939.70 : 289,312.35 = 114,078.10 : x
  2. Step 2: Convert to fraction form
    192,939.70/289,312.35 = 114,078.10/x
  3. Step 3: Cross multiply
    192,939.70x = 289,312.35 × 114,078.10
  4. Step 4: Simplify right side
    192,939.70x = 33,004,203,194.54
  5. Step 5: Solve for x
    x = 33,004,203,194.54/192,939.70
  6. Step 6: Final answer
    x = 171,059.68

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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.