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Finding the Fourth Proportional to 181,214.40, 271,821.60 and 164,301.60

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Solution

The fourth proportional to 181,214.40, 271,821.60 and 164,301.60 is: 246,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,214.40 : 271,821.60 = 164,301.60 : x
  2. Step 2: Convert to fraction form
    181,214.40/271,821.60 = 164,301.60/x
  3. Step 3: Cross multiply
    181,214.40x = 271,821.60 × 164,301.60
  4. Step 4: Simplify right side
    181,214.40x = 44,660,723,794.56
  5. Step 5: Solve for x
    x = 44,660,723,794.56/181,214.40
  6. Step 6: Final answer
    x = 246,452.40

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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.