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Finding the Fourth Proportional to 205,276.50, 283,265.24 and 114,627.06

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Solution

The fourth proportional to 205,276.50, 283,265.24 and 114,627.06 is: 158,176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,276.50 : 283,265.24 = 114,627.06 : x
  2. Step 2: Convert to fraction form
    205,276.50/283,265.24 = 114,627.06/x
  3. Step 3: Cross multiply
    205,276.50x = 283,265.24 × 114,627.06
  4. Step 4: Simplify right side
    205,276.50x = 32,469,860,245.07
  5. Step 5: Solve for x
    x = 32,469,860,245.07/205,276.50
  6. Step 6: Final answer
    x = 158,176.22

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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.