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Finding the Fourth Proportional to 204,730.80, 282,524.76 and 115,306.80

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Solution

The fourth proportional to 204,730.80, 282,524.76 and 115,306.80 is: 159,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,730.80 : 282,524.76 = 115,306.80 : x
  2. Step 2: Convert to fraction form
    204,730.80/282,524.76 = 115,306.80/x
  3. Step 3: Cross multiply
    204,730.80x = 282,524.76 × 115,306.80
  4. Step 4: Simplify right side
    204,730.80x = 32,577,025,996.37
  5. Step 5: Solve for x
    x = 32,577,025,996.37/204,730.80
  6. Step 6: Final answer
    x = 159,121.28

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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.