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Finding the Fourth Proportional to 207,616.50, 311,446.62 and 95,277.60

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Solution

The fourth proportional to 207,616.50, 311,446.62 and 95,277.60 is: 142,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,616.50 : 311,446.62 = 95,277.60 : x
  2. Step 2: Convert to fraction form
    207,616.50/311,446.62 = 95,277.60/x
  3. Step 3: Cross multiply
    207,616.50x = 311,446.62 × 95,277.60
  4. Step 4: Simplify right side
    207,616.50x = 29,673,886,481.71
  5. Step 5: Solve for x
    x = 29,673,886,481.71/207,616.50
  6. Step 6: Final answer
    x = 142,926.44

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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.