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Finding the Fourth Proportional to 272,048.40, 408,072.60 and 188,067.60

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Solution

The fourth proportional to 272,048.40, 408,072.60 and 188,067.60 is: 282,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,048.40 : 408,072.60 = 188,067.60 : x
  2. Step 2: Convert to fraction form
    272,048.40/408,072.60 = 188,067.60/x
  3. Step 3: Cross multiply
    272,048.40x = 408,072.60 × 188,067.60
  4. Step 4: Simplify right side
    272,048.40x = 76,745,234,507.76
  5. Step 5: Solve for x
    x = 76,745,234,507.76/272,048.40
  6. Step 6: Final answer
    x = 282,101.40

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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.