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Finding the Fourth Proportional to 206,698.20, 310,047.30 and 135,839.40

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Solution

The fourth proportional to 206,698.20, 310,047.30 and 135,839.40 is: 203,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.20 : 310,047.30 = 135,839.40 : x
  2. Step 2: Convert to fraction form
    206,698.20/310,047.30 = 135,839.40/x
  3. Step 3: Cross multiply
    206,698.20x = 310,047.30 × 135,839.40
  4. Step 4: Simplify right side
    206,698.20x = 42,116,639,203.62
  5. Step 5: Solve for x
    x = 42,116,639,203.62/206,698.20
  6. Step 6: Final answer
    x = 203,759.10

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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.