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Finding the Fourth Proportional to 206,871.13, 310,306.70 and 66,629.75

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Solution

The fourth proportional to 206,871.13, 310,306.70 and 66,629.75 is: 99,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871.13 : 310,306.70 = 66,629.75 : x
  2. Step 2: Convert to fraction form
    206,871.13/310,306.70 = 66,629.75/x
  3. Step 3: Cross multiply
    206,871.13x = 310,306.70 × 66,629.75
  4. Step 4: Simplify right side
    206,871.13x = 20,675,657,844.33
  5. Step 5: Solve for x
    x = 20,675,657,844.33/206,871.13
  6. Step 6: Final answer
    x = 99,944.63

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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.