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Finding the Fourth Proportional to 205,716.24, 283,914.66 and 115,077.24

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Solution

The fourth proportional to 205,716.24, 283,914.66 and 115,077.24 is: 158,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,716.24 : 283,914.66 = 115,077.24 : x
  2. Step 2: Convert to fraction form
    205,716.24/283,914.66 = 115,077.24/x
  3. Step 3: Cross multiply
    205,716.24x = 283,914.66 × 115,077.24
  4. Step 4: Simplify right side
    205,716.24x = 32,672,115,468.34
  5. Step 5: Solve for x
    x = 32,672,115,468.34/205,716.24
  6. Step 6: Final answer
    x = 158,821.27

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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.