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Finding the Fourth Proportional to 207,964.60, 311,793.30 and 83,241.40

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Solution

The fourth proportional to 207,964.60, 311,793.30 and 83,241.40 is: 124,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,964.60 : 311,793.30 = 83,241.40 : x
  2. Step 2: Convert to fraction form
    207,964.60/311,793.30 = 83,241.40/x
  3. Step 3: Cross multiply
    207,964.60x = 311,793.30 × 83,241.40
  4. Step 4: Simplify right side
    207,964.60x = 25,954,110,802.62
  5. Step 5: Solve for x
    x = 25,954,110,802.62/207,964.60
  6. Step 6: Final answer
    x = 124,800.62

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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.