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Finding the Fourth Proportional to 206,933.20, 310,326.90 and 73,817.80

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Solution

The fourth proportional to 206,933.20, 310,326.90 and 73,817.80 is: 110,700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,933.20 : 310,326.90 = 73,817.80 : x
  2. Step 2: Convert to fraction form
    206,933.20/310,326.90 = 73,817.80/x
  3. Step 3: Cross multiply
    206,933.20x = 310,326.90 × 73,817.80
  4. Step 4: Simplify right side
    206,933.20x = 22,907,649,038.82
  5. Step 5: Solve for x
    x = 22,907,649,038.82/206,933.20
  6. Step 6: Final answer
    x = 110,700.69

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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.