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Finding the Fourth Proportional to 206,735.80, 310,103.70 and 154,247.80

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Solution

The fourth proportional to 206,735.80, 310,103.70 and 154,247.80 is: 231,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,735.80 : 310,103.70 = 154,247.80 : x
  2. Step 2: Convert to fraction form
    206,735.80/310,103.70 = 154,247.80/x
  3. Step 3: Cross multiply
    206,735.80x = 310,103.70 × 154,247.80
  4. Step 4: Simplify right side
    206,735.80x = 47,832,813,496.86
  5. Step 5: Solve for x
    x = 47,832,813,496.86/206,735.80
  6. Step 6: Final answer
    x = 231,371.70

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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.