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Finding the Fourth Proportional to 200,436.44, 275,972.82 and 170,159

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Solution

The fourth proportional to 200,436.44, 275,972.82 and 170,159 is: 234,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,436.44 : 275,972.82 = 170,159 : x
  2. Step 2: Convert to fraction form
    200,436.44/275,972.82 = 170,159/x
  3. Step 3: Cross multiply
    200,436.44x = 275,972.82 × 170,159
  4. Step 4: Simplify right side
    200,436.44x = 46,959,259,078.38
  5. Step 5: Solve for x
    x = 46,959,259,078.38/200,436.44
  6. Step 6: Final answer
    x = 234,285.04

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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.