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Finding the Fourth Proportional to 194,736.80, 292,220.40 and 142,013.60

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Solution

The fourth proportional to 194,736.80, 292,220.40 and 142,013.60 is: 213,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,736.80 : 292,220.40 = 142,013.60 : x
  2. Step 2: Convert to fraction form
    194,736.80/292,220.40 = 142,013.60/x
  3. Step 3: Cross multiply
    194,736.80x = 292,220.40 × 142,013.60
  4. Step 4: Simplify right side
    194,736.80x = 41,499,270,997.44
  5. Step 5: Solve for x
    x = 41,499,270,997.44/194,736.80
  6. Step 6: Final answer
    x = 213,104.41

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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.