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Finding the Fourth Proportional to 206,546.40, 309,813.20 and 58,802.40

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Solution

The fourth proportional to 206,546.40, 309,813.20 and 58,802.40 is: 88,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,546.40 : 309,813.20 = 58,802.40 : x
  2. Step 2: Convert to fraction form
    206,546.40/309,813.20 = 58,802.40/x
  3. Step 3: Cross multiply
    206,546.40x = 309,813.20 × 58,802.40
  4. Step 4: Simplify right side
    206,546.40x = 18,217,759,711.68
  5. Step 5: Solve for x
    x = 18,217,759,711.68/206,546.40
  6. Step 6: Final answer
    x = 88,201.78

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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.