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Finding the Fourth Proportional to 205,605.39, 283,722.28 and 114,968.82

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Solution

The fourth proportional to 205,605.39, 283,722.28 and 114,968.82 is: 158,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,605.39 : 283,722.28 = 114,968.82 : x
  2. Step 2: Convert to fraction form
    205,605.39/283,722.28 = 114,968.82/x
  3. Step 3: Cross multiply
    205,605.39x = 283,722.28 × 114,968.82
  4. Step 4: Simplify right side
    205,605.39x = 32,619,215,739.31
  5. Step 5: Solve for x
    x = 32,619,215,739.31/205,605.39
  6. Step 6: Final answer
    x = 158,649.61

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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.