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Finding the Fourth Proportional to 208,925.25, 313,512.41 and 75,815.90

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Solution

The fourth proportional to 208,925.25, 313,512.41 and 75,815.90 is: 113,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,925.25 : 313,512.41 = 75,815.90 : x
  2. Step 2: Convert to fraction form
    208,925.25/313,512.41 = 75,815.90/x
  3. Step 3: Cross multiply
    208,925.25x = 313,512.41 × 75,815.90
  4. Step 4: Simplify right side
    208,925.25x = 23,769,223,578.68
  5. Step 5: Solve for x
    x = 23,769,223,578.68/208,925.25
  6. Step 6: Final answer
    x = 113,769.03

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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.