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Finding the Fourth Proportional to 227,771.20, 341,656.80 and 178,004.80

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Solution

The fourth proportional to 227,771.20, 341,656.80 and 178,004.80 is: 267,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,771.20 : 341,656.80 = 178,004.80 : x
  2. Step 2: Convert to fraction form
    227,771.20/341,656.80 = 178,004.80/x
  3. Step 3: Cross multiply
    227,771.20x = 341,656.80 × 178,004.80
  4. Step 4: Simplify right side
    227,771.20x = 60,816,550,352.64
  5. Step 5: Solve for x
    x = 60,816,550,352.64/227,771.20
  6. Step 6: Final answer
    x = 267,007.20

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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.