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Finding the Fourth Proportional to 207,755.30, 311,685.51 and 57,995.48

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Solution

The fourth proportional to 207,755.30, 311,685.51 and 57,995.48 is: 87,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,755.30 : 311,685.51 = 57,995.48 : x
  2. Step 2: Convert to fraction form
    207,755.30/311,685.51 = 57,995.48/x
  3. Step 3: Cross multiply
    207,755.30x = 311,685.51 × 57,995.48
  4. Step 4: Simplify right side
    207,755.30x = 18,076,350,761.49
  5. Step 5: Solve for x
    x = 18,076,350,761.49/207,755.30
  6. Step 6: Final answer
    x = 87,007.89

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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.