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Finding the Fourth Proportional to 218,076.40, 327,114.60 and 143,426.80

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Solution

The fourth proportional to 218,076.40, 327,114.60 and 143,426.80 is: 215,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,076.40 : 327,114.60 = 143,426.80 : x
  2. Step 2: Convert to fraction form
    218,076.40/327,114.60 = 143,426.80/x
  3. Step 3: Cross multiply
    218,076.40x = 327,114.60 × 143,426.80
  4. Step 4: Simplify right side
    218,076.40x = 46,917,000,311.28
  5. Step 5: Solve for x
    x = 46,917,000,311.28/218,076.40
  6. Step 6: Final answer
    x = 215,140.20

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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.