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Finding the Fourth Proportional to 204,229.62, 281,834.37 and 114,805.62

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Solution

The fourth proportional to 204,229.62, 281,834.37 and 114,805.62 is: 158,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,229.62 : 281,834.37 = 114,805.62 : x
  2. Step 2: Convert to fraction form
    204,229.62/281,834.37 = 114,805.62/x
  3. Step 3: Cross multiply
    204,229.62x = 281,834.37 × 114,805.62
  4. Step 4: Simplify right side
    204,229.62x = 32,356,169,585.16
  5. Step 5: Solve for x
    x = 32,356,169,585.16/204,229.62
  6. Step 6: Final answer
    x = 158,430.35

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1.5x scale

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.