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Finding the Fourth Proportional to 270,813.34, 405,954.87 and 113,086.90

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Solution

The fourth proportional to 270,813.34, 405,954.87 and 113,086.90 is: 169,519.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,813.34 : 405,954.87 = 113,086.90 : x
  2. Step 2: Convert to fraction form
    270,813.34/405,954.87 = 113,086.90/x
  3. Step 3: Cross multiply
    270,813.34x = 405,954.87 × 113,086.90
  4. Step 4: Simplify right side
    270,813.34x = 45,908,177,788.20
  5. Step 5: Solve for x
    x = 45,908,177,788.20/270,813.34
  6. Step 6: Final answer
    x = 169,519.63

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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.