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Finding the Fourth Proportional to 205,546.95, 283,656.35 and 114,906.60

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Solution

The fourth proportional to 205,546.95, 283,656.35 and 114,906.60 is: 158,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,546.95 : 283,656.35 = 114,906.60 : x
  2. Step 2: Convert to fraction form
    205,546.95/283,656.35 = 114,906.60/x
  3. Step 3: Cross multiply
    205,546.95x = 283,656.35 × 114,906.60
  4. Step 4: Simplify right side
    205,546.95x = 32,593,987,034.18
  5. Step 5: Solve for x
    x = 32,593,987,034.18/205,546.95
  6. Step 6: Final answer
    x = 158,571.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.