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Finding the Fourth Proportional to 207,682.35, 311,523.53 and 65,542.03

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Solution

The fourth proportional to 207,682.35, 311,523.53 and 65,542.03 is: 98,313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,682.35 : 311,523.53 = 65,542.03 : x
  2. Step 2: Convert to fraction form
    207,682.35/311,523.53 = 65,542.03/x
  3. Step 3: Cross multiply
    207,682.35x = 311,523.53 × 65,542.03
  4. Step 4: Simplify right side
    207,682.35x = 20,417,884,548.97
  5. Step 5: Solve for x
    x = 20,417,884,548.97/207,682.35
  6. Step 6: Final answer
    x = 98,313.05

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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.