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Finding the Fourth Proportional to 205,383.66, 283,419.26 and 114,721.56

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Solution

The fourth proportional to 205,383.66, 283,419.26 and 114,721.56 is: 158,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,383.66 : 283,419.26 = 114,721.56 : x
  2. Step 2: Convert to fraction form
    205,383.66/283,419.26 = 114,721.56/x
  3. Step 3: Cross multiply
    205,383.66x = 283,419.26 × 114,721.56
  4. Step 4: Simplify right side
    205,383.66x = 32,514,299,641.25
  5. Step 5: Solve for x
    x = 32,514,299,641.25/205,383.66
  6. Step 6: Final answer
    x = 158,310.06

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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.