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Finding the Fourth Proportional to 153,982.80, 230,974.20 and 137,653.20

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Solution

The fourth proportional to 153,982.80, 230,974.20 and 137,653.20 is: 206,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,982.80 : 230,974.20 = 137,653.20 : x
  2. Step 2: Convert to fraction form
    153,982.80/230,974.20 = 137,653.20/x
  3. Step 3: Cross multiply
    153,982.80x = 230,974.20 × 137,653.20
  4. Step 4: Simplify right side
    153,982.80x = 31,794,337,747.44
  5. Step 5: Solve for x
    x = 31,794,337,747.44/153,982.80
  6. Step 6: Final answer
    x = 206,479.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.