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Finding the Fourth Proportional to 218,470.80, 327,743.55 and 100,152.30

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Solution

The fourth proportional to 218,470.80, 327,743.55 and 100,152.30 is: 150,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,470.80 : 327,743.55 = 100,152.30 : x
  2. Step 2: Convert to fraction form
    218,470.80/327,743.55 = 100,152.30/x
  3. Step 3: Cross multiply
    218,470.80x = 327,743.55 × 100,152.30
  4. Step 4: Simplify right side
    218,470.80x = 32,824,270,342.67
  5. Step 5: Solve for x
    x = 32,824,270,342.67/218,470.80
  6. Step 6: Final answer
    x = 150,245.57

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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.