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Finding the Fourth Proportional to 205,419.63, 283,477.14 and 114,791.21

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Solution

The fourth proportional to 205,419.63, 283,477.14 and 114,791.21 is: 158,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,419.63 : 283,477.14 = 114,791.21 : x
  2. Step 2: Convert to fraction form
    205,419.63/283,477.14 = 114,791.21/x
  3. Step 3: Cross multiply
    205,419.63x = 283,477.14 × 114,791.21
  4. Step 4: Simplify right side
    205,419.63x = 32,540,683,907.94
  5. Step 5: Solve for x
    x = 32,540,683,907.94/205,419.63
  6. Step 6: Final answer
    x = 158,410.78

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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.