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Finding the Fourth Proportional to 274,744.59, 412,257.61 and 130,813.29

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Solution

The fourth proportional to 274,744.59, 412,257.61 and 130,813.29 is: 196,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,744.59 : 412,257.61 = 130,813.29 : x
  2. Step 2: Convert to fraction form
    274,744.59/412,257.61 = 130,813.29/x
  3. Step 3: Cross multiply
    274,744.59x = 412,257.61 × 130,813.29
  4. Step 4: Simplify right side
    274,744.59x = 53,928,774,291.64
  5. Step 5: Solve for x
    x = 53,928,774,291.64/274,744.59
  6. Step 6: Final answer
    x = 196,286.94

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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.