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Finding the Fourth Proportional to 204,362.44, 282,017.46 and 114,938.44

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Solution

The fourth proportional to 204,362.44, 282,017.46 and 114,938.44 is: 158,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,362.44 : 282,017.46 = 114,938.44 : x
  2. Step 2: Convert to fraction form
    204,362.44/282,017.46 = 114,938.44/x
  3. Step 3: Cross multiply
    204,362.44x = 282,017.46 × 114,938.44
  4. Step 4: Simplify right side
    204,362.44x = 32,414,646,905.16
  5. Step 5: Solve for x
    x = 32,414,646,905.16/204,362.44
  6. Step 6: Final answer
    x = 158,613.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.