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Finding the Fourth Proportional to 207,652.43, 311,550.92 and 65,519.64

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Solution

The fourth proportional to 207,652.43, 311,550.92 and 65,519.64 is: 98,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,652.43 : 311,550.92 = 65,519.64 : x
  2. Step 2: Convert to fraction form
    207,652.43/311,550.92 = 65,519.64/x
  3. Step 3: Cross multiply
    207,652.43x = 311,550.92 × 65,519.64
  4. Step 4: Simplify right side
    207,652.43x = 20,412,703,792.47
  5. Step 5: Solve for x
    x = 20,412,703,792.47/207,652.43
  6. Step 6: Final answer
    x = 98,302.27

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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.