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Finding the Fourth Proportional to 204,689.28, 281,652.48 and 156,924.48

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Solution

The fourth proportional to 204,689.28, 281,652.48 and 156,924.48 is: 215,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,689.28 : 281,652.48 = 156,924.48 : x
  2. Step 2: Convert to fraction form
    204,689.28/281,652.48 = 156,924.48/x
  3. Step 3: Cross multiply
    204,689.28x = 281,652.48 × 156,924.48
  4. Step 4: Simplify right side
    204,689.28x = 44,198,168,964.71
  5. Step 5: Solve for x
    x = 44,198,168,964.71/204,689.28
  6. Step 6: Final answer
    x = 215,928.11

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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.