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Finding the Fourth Proportional to 207,662.97, 311,566.68 and 65,530.11

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Solution

The fourth proportional to 207,662.97, 311,566.68 and 65,530.11 is: 98,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,662.97 : 311,566.68 = 65,530.11 : x
  2. Step 2: Convert to fraction form
    207,662.97/311,566.68 = 65,530.11/x
  3. Step 3: Cross multiply
    207,662.97x = 311,566.68 × 65,530.11
  4. Step 4: Simplify right side
    207,662.97x = 20,416,998,812.73
  5. Step 5: Solve for x
    x = 20,416,998,812.73/207,662.97
  6. Step 6: Final answer
    x = 98,317.96

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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.