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Finding the Fourth Proportional to 206,674.20, 309,938.40 and 73,558.80

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Solution

The fourth proportional to 206,674.20, 309,938.40 and 73,558.80 is: 110,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,674.20 : 309,938.40 = 73,558.80 : x
  2. Step 2: Convert to fraction form
    206,674.20/309,938.40 = 73,558.80/x
  3. Step 3: Cross multiply
    206,674.20x = 309,938.40 × 73,558.80
  4. Step 4: Simplify right side
    206,674.20x = 22,798,696,777.92
  5. Step 5: Solve for x
    x = 22,798,696,777.92/206,674.20
  6. Step 6: Final answer
    x = 110,312.25

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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.