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Finding the Fourth Proportional to 206,903.80, 310,355.70 and 82,244.80

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Solution

The fourth proportional to 206,903.80, 310,355.70 and 82,244.80 is: 123,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,903.80 : 310,355.70 = 82,244.80 : x
  2. Step 2: Convert to fraction form
    206,903.80/310,355.70 = 82,244.80/x
  3. Step 3: Cross multiply
    206,903.80x = 310,355.70 × 82,244.80
  4. Step 4: Simplify right side
    206,903.80x = 25,525,142,475.36
  5. Step 5: Solve for x
    x = 25,525,142,475.36/206,903.80
  6. Step 6: Final answer
    x = 123,367.20

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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.