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Finding the Fourth Proportional to 207,144.52, 310,716.80 and 65,011.73

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Solution

The fourth proportional to 207,144.52, 310,716.80 and 65,011.73 is: 97,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,144.52 : 310,716.80 = 65,011.73 : x
  2. Step 2: Convert to fraction form
    207,144.52/310,716.80 = 65,011.73/x
  3. Step 3: Cross multiply
    207,144.52x = 310,716.80 × 65,011.73
  4. Step 4: Simplify right side
    207,144.52x = 20,200,235,073.22
  5. Step 5: Solve for x
    x = 20,200,235,073.22/207,144.52
  6. Step 6: Final answer
    x = 97,517.59

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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.