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Finding the Fourth Proportional to 204,871.72, 282,724.42 and 114,233.62

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Solution

The fourth proportional to 204,871.72, 282,724.42 and 114,233.62 is: 157,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,871.72 : 282,724.42 = 114,233.62 : x
  2. Step 2: Convert to fraction form
    204,871.72/282,724.42 = 114,233.62/x
  3. Step 3: Cross multiply
    204,871.72x = 282,724.42 × 114,233.62
  4. Step 4: Simplify right side
    204,871.72x = 32,296,633,959.00
  5. Step 5: Solve for x
    x = 32,296,633,959.00/204,871.72
  6. Step 6: Final answer
    x = 157,643.20

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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.