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Finding the Fourth Proportional to 205,377.22, 283,410.44 and 114,715.14

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Solution

The fourth proportional to 205,377.22, 283,410.44 and 114,715.14 is: 158,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,377.22 : 283,410.44 = 114,715.14 : x
  2. Step 2: Convert to fraction form
    205,377.22/283,410.44 = 114,715.14/x
  3. Step 3: Cross multiply
    205,377.22x = 283,410.44 × 114,715.14
  4. Step 4: Simplify right side
    205,377.22x = 32,511,467,741.15
  5. Step 5: Solve for x
    x = 32,511,467,741.15/205,377.22
  6. Step 6: Final answer
    x = 158,301.23

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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.