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Finding the Fourth Proportional to 218,086.40, 327,226.80 and 99,696.80

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Solution

The fourth proportional to 218,086.40, 327,226.80 and 99,696.80 is: 149,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,086.40 : 327,226.80 = 99,696.80 : x
  2. Step 2: Convert to fraction form
    218,086.40/327,226.80 = 99,696.80/x
  3. Step 3: Cross multiply
    218,086.40x = 327,226.80 × 99,696.80
  4. Step 4: Simplify right side
    218,086.40x = 32,623,464,834.24
  5. Step 5: Solve for x
    x = 32,623,464,834.24/218,086.40
  6. Step 6: Final answer
    x = 149,589.63

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1.5x scale

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.