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Finding the Fourth Proportional to 205,410.63, 283,464.72 and 114,782.22

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Solution

The fourth proportional to 205,410.63, 283,464.72 and 114,782.22 is: 158,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,410.63 : 283,464.72 = 114,782.22 : x
  2. Step 2: Convert to fraction form
    205,410.63/283,464.72 = 114,782.22/x
  3. Step 3: Cross multiply
    205,410.63x = 283,464.72 × 114,782.22
  4. Step 4: Simplify right side
    205,410.63x = 32,536,709,853.28
  5. Step 5: Solve for x
    x = 32,536,709,853.28/205,410.63
  6. Step 6: Final answer
    x = 158,398.37

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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.