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Finding the Fourth Proportional to 205,110.88, 283,067.21 and 114,484.48

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Solution

The fourth proportional to 205,110.88, 283,067.21 and 114,484.48 is: 157,996.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,110.88 : 283,067.21 = 114,484.48 : x
  2. Step 2: Convert to fraction form
    205,110.88/283,067.21 = 114,484.48/x
  3. Step 3: Cross multiply
    205,110.88x = 283,067.21 × 114,484.48
  4. Step 4: Simplify right side
    205,110.88x = 32,406,802,341.90
  5. Step 5: Solve for x
    x = 32,406,802,341.90/205,110.88
  6. Step 6: Final answer
    x = 157,996.51

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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.