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Finding the Fourth Proportional to 204,633.56, 282,329.34 and 115,192.28

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Solution

The fourth proportional to 204,633.56, 282,329.34 and 115,192.28 is: 158,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,633.56 : 282,329.34 = 115,192.28 : x
  2. Step 2: Convert to fraction form
    204,633.56/282,329.34 = 115,192.28/x
  3. Step 3: Cross multiply
    204,633.56x = 282,329.34 × 115,192.28
  4. Step 4: Simplify right side
    204,633.56x = 32,522,160,385.50
  5. Step 5: Solve for x
    x = 32,522,160,385.50/204,633.56
  6. Step 6: Final answer
    x = 158,928.77

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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.