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Finding the Fourth Proportional to 207,825.51, 311,243.42 and 132,713.00

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Solution

The fourth proportional to 207,825.51, 311,243.42 and 132,713.00 is: 198,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825.51 : 311,243.42 = 132,713.00 : x
  2. Step 2: Convert to fraction form
    207,825.51/311,243.42 = 132,713.00/x
  3. Step 3: Cross multiply
    207,825.51x = 311,243.42 × 132,713.00
  4. Step 4: Simplify right side
    207,825.51x = 41,306,045,778.68
  5. Step 5: Solve for x
    x = 41,306,045,778.68/207,825.51
  6. Step 6: Final answer
    x = 198,753.49

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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.