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Finding the Fourth Proportional to 205,408.26, 308,112.32 and 77,348.64

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Solution

The fourth proportional to 205,408.26, 308,112.32 and 77,348.64 is: 116,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,408.26 : 308,112.32 = 77,348.64 : x
  2. Step 2: Convert to fraction form
    205,408.26/308,112.32 = 77,348.64/x
  3. Step 3: Cross multiply
    205,408.26x = 308,112.32 × 77,348.64
  4. Step 4: Simplify right side
    205,408.26x = 23,832,068,532.50
  5. Step 5: Solve for x
    x = 23,832,068,532.50/205,408.26
  6. Step 6: Final answer
    x = 116,022.93

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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.