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Finding the Fourth Proportional to 327,164.64, 490,746.20 and 102,542.20

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Solution

The fourth proportional to 327,164.64, 490,746.20 and 102,542.20 is: 153,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,164.64 : 490,746.20 = 102,542.20 : x
  2. Step 2: Convert to fraction form
    327,164.64/490,746.20 = 102,542.20/x
  3. Step 3: Cross multiply
    327,164.64x = 490,746.20 × 102,542.20
  4. Step 4: Simplify right side
    327,164.64x = 50,322,194,989.64
  5. Step 5: Solve for x
    x = 50,322,194,989.64/327,164.64
  6. Step 6: Final answer
    x = 153,813.06

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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.