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Finding the Fourth Proportional to 183,958.92, 275,707.64 and 78,654.28

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Solution

The fourth proportional to 183,958.92, 275,707.64 and 78,654.28 is: 117,882.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,958.92 : 275,707.64 = 78,654.28 : x
  2. Step 2: Convert to fraction form
    183,958.92/275,707.64 = 78,654.28/x
  3. Step 3: Cross multiply
    183,958.92x = 275,707.64 × 78,654.28
  4. Step 4: Simplify right side
    183,958.92x = 21,685,585,914.70
  5. Step 5: Solve for x
    x = 21,685,585,914.70/183,958.92
  6. Step 6: Final answer
    x = 117,882.76

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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.