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Finding the Fourth Proportional to 207,013.86, 310,546.31 and 73,908.18

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Solution

The fourth proportional to 207,013.86, 310,546.31 and 73,908.18 is: 110,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,013.86 : 310,546.31 = 73,908.18 : x
  2. Step 2: Convert to fraction form
    207,013.86/310,546.31 = 73,908.18/x
  3. Step 3: Cross multiply
    207,013.86x = 310,546.31 × 73,908.18
  4. Step 4: Simplify right side
    207,013.86x = 22,951,912,208.27
  5. Step 5: Solve for x
    x = 22,951,912,208.27/207,013.86
  6. Step 6: Final answer
    x = 110,871.38

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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.