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Finding the Fourth Proportional to 223,834.40, 335,713.20 and 83,520.80

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Solution

The fourth proportional to 223,834.40, 335,713.20 and 83,520.80 is: 125,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,834.40 : 335,713.20 = 83,520.80 : x
  2. Step 2: Convert to fraction form
    223,834.40/335,713.20 = 83,520.80/x
  3. Step 3: Cross multiply
    223,834.40x = 335,713.20 × 83,520.80
  4. Step 4: Simplify right side
    223,834.40x = 28,039,035,034.56
  5. Step 5: Solve for x
    x = 28,039,035,034.56/223,834.40
  6. Step 6: Final answer
    x = 125,266.87

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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.