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Finding the Fourth Proportional to 136,057.78, 204,080.19 and 41,283.73

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Solution

The fourth proportional to 136,057.78, 204,080.19 and 41,283.73 is: 61,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,057.78 : 204,080.19 = 41,283.73 : x
  2. Step 2: Convert to fraction form
    136,057.78/204,080.19 = 41,283.73/x
  3. Step 3: Cross multiply
    136,057.78x = 204,080.19 × 41,283.73
  4. Step 4: Simplify right side
    136,057.78x = 8,425,191,462.31
  5. Step 5: Solve for x
    x = 8,425,191,462.31/136,057.78
  6. Step 6: Final answer
    x = 61,923.63

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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.