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Finding the Fourth Proportional to 208,759.60, 313,042.16 and 75,634.48

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Solution

The fourth proportional to 208,759.60, 313,042.16 and 75,634.48 is: 113,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,759.60 : 313,042.16 = 75,634.48 : x
  2. Step 2: Convert to fraction form
    208,759.60/313,042.16 = 75,634.48/x
  3. Step 3: Cross multiply
    208,759.60x = 313,042.16 × 75,634.48
  4. Step 4: Simplify right side
    208,759.60x = 23,676,780,989.68
  5. Step 5: Solve for x
    x = 23,676,780,989.68/208,759.60
  6. Step 6: Final answer
    x = 113,416.49

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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.