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Finding the Fourth Proportional to 223,561.80, 335,333.10 and 75,817.80

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Solution

The fourth proportional to 223,561.80, 335,333.10 and 75,817.80 is: 113,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,561.80 : 335,333.10 = 75,817.80 : x
  2. Step 2: Convert to fraction form
    223,561.80/335,333.10 = 75,817.80/x
  3. Step 3: Cross multiply
    223,561.80x = 335,333.10 × 75,817.80
  4. Step 4: Simplify right side
    223,561.80x = 25,424,217,909.18
  5. Step 5: Solve for x
    x = 25,424,217,909.18/223,561.80
  6. Step 6: Final answer
    x = 113,723.44

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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.