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Finding the Fourth Proportional to 114,313.14, 171,481.14 and 39,423.42

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Solution

The fourth proportional to 114,313.14, 171,481.14 and 39,423.42 is: 59,139.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,313.14 : 171,481.14 = 39,423.42 : x
  2. Step 2: Convert to fraction form
    114,313.14/171,481.14 = 39,423.42/x
  3. Step 3: Cross multiply
    114,313.14x = 171,481.14 × 39,423.42
  4. Step 4: Simplify right side
    114,313.14x = 6,760,373,004.30
  5. Step 5: Solve for x
    x = 6,760,373,004.30/114,313.14
  6. Step 6: Final answer
    x = 59,139.07

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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.