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Finding the Fourth Proportional to 204,791.30, 282,613.28 and 114,153

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Solution

The fourth proportional to 204,791.30, 282,613.28 and 114,153 is: 157,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,791.30 : 282,613.28 = 114,153 : x
  2. Step 2: Convert to fraction form
    204,791.30/282,613.28 = 114,153/x
  3. Step 3: Cross multiply
    204,791.30x = 282,613.28 × 114,153
  4. Step 4: Simplify right side
    204,791.30x = 32,261,153,751.84
  5. Step 5: Solve for x
    x = 32,261,153,751.84/204,791.30
  6. Step 6: Final answer
    x = 157,531.86

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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.