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Finding the Fourth Proportional to 218,246.40, 327,578.40 and 113,140.80

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Solution

The fourth proportional to 218,246.40, 327,578.40 and 113,140.80 is: 169,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,246.40 : 327,578.40 = 113,140.80 : x
  2. Step 2: Convert to fraction form
    218,246.40/327,578.40 = 113,140.80/x
  3. Step 3: Cross multiply
    218,246.40x = 327,578.40 × 113,140.80
  4. Step 4: Simplify right side
    218,246.40x = 37,062,482,238.72
  5. Step 5: Solve for x
    x = 37,062,482,238.72/218,246.40
  6. Step 6: Final answer
    x = 169,819.44

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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.