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Finding the Fourth Proportional to 206,995.41, 310,306.05 and 73,844.01

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Solution

The fourth proportional to 206,995.41, 310,306.05 and 73,844.01 is: 110,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,995.41 : 310,306.05 = 73,844.01 : x
  2. Step 2: Convert to fraction form
    206,995.41/310,306.05 = 73,844.01/x
  3. Step 3: Cross multiply
    206,995.41x = 310,306.05 × 73,844.01
  4. Step 4: Simplify right side
    206,995.41x = 22,914,243,059.26
  5. Step 5: Solve for x
    x = 22,914,243,059.26/206,995.41
  6. Step 6: Final answer
    x = 110,699.28

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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.