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Finding the Fourth Proportional to 218,201.20, 327,156 and 176,133.04

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Solution

The fourth proportional to 218,201.20, 327,156 and 176,133.04 is: 264,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,201.20 : 327,156 = 176,133.04 : x
  2. Step 2: Convert to fraction form
    218,201.20/327,156 = 176,133.04/x
  3. Step 3: Cross multiply
    218,201.20x = 327,156 × 176,133.04
  4. Step 4: Simplify right side
    218,201.20x = 57,622,980,834.24
  5. Step 5: Solve for x
    x = 57,622,980,834.24/218,201.20
  6. Step 6: Final answer
    x = 264,081.87

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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.