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Finding the Fourth Proportional to 204,659.34, 282,434.86 and 114,016.80

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Solution

The fourth proportional to 204,659.34, 282,434.86 and 114,016.80 is: 157,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,659.34 : 282,434.86 = 114,016.80 : x
  2. Step 2: Convert to fraction form
    204,659.34/282,434.86 = 114,016.80/x
  3. Step 3: Cross multiply
    204,659.34x = 282,434.86 × 114,016.80
  4. Step 4: Simplify right side
    204,659.34x = 32,202,318,945.65
  5. Step 5: Solve for x
    x = 32,202,318,945.65/204,659.34
  6. Step 6: Final answer
    x = 157,345.95

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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.