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Finding the Fourth Proportional to 218,168.40, 327,171.54 and 75,977.16

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Solution

The fourth proportional to 218,168.40, 327,171.54 and 75,977.16 is: 113,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,168.40 : 327,171.54 = 75,977.16 : x
  2. Step 2: Convert to fraction form
    218,168.40/327,171.54 = 75,977.16/x
  3. Step 3: Cross multiply
    218,168.40x = 327,171.54 × 75,977.16
  4. Step 4: Simplify right side
    218,168.40x = 24,857,564,442.03
  5. Step 5: Solve for x
    x = 24,857,564,442.03/218,168.40
  6. Step 6: Final answer
    x = 113,937.51

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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.