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Finding the Fourth Proportional to 204,633.77, 282,357.13 and 113,987.48

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Solution

The fourth proportional to 204,633.77, 282,357.13 and 113,987.48 is: 157,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,633.77 : 282,357.13 = 113,987.48 : x
  2. Step 2: Convert to fraction form
    204,633.77/282,357.13 = 113,987.48/x
  3. Step 3: Cross multiply
    204,633.77x = 282,357.13 × 113,987.48
  4. Step 4: Simplify right side
    204,633.77x = 32,185,179,086.53
  5. Step 5: Solve for x
    x = 32,185,179,086.53/204,633.77
  6. Step 6: Final answer
    x = 157,281.85

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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.