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Finding the Fourth Proportional to 126,076.52, 189,137.25 and 41,841.78

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Solution

The fourth proportional to 126,076.52, 189,137.25 and 41,841.78 is: 62,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,076.52 : 189,137.25 = 41,841.78 : x
  2. Step 2: Convert to fraction form
    126,076.52/189,137.25 = 41,841.78/x
  3. Step 3: Cross multiply
    126,076.52x = 189,137.25 × 41,841.78
  4. Step 4: Simplify right side
    126,076.52x = 7,913,839,204.31
  5. Step 5: Solve for x
    x = 7,913,839,204.31/126,076.52
  6. Step 6: Final answer
    x = 62,770.13

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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.