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Finding the Fourth Proportional to 126,511.36, 189,798.17 and 89,144.38

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Solution

The fourth proportional to 126,511.36, 189,798.17 and 89,144.38 is: 133,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,511.36 : 189,798.17 = 89,144.38 : x
  2. Step 2: Convert to fraction form
    126,511.36/189,798.17 = 89,144.38/x
  3. Step 3: Cross multiply
    126,511.36x = 189,798.17 × 89,144.38
  4. Step 4: Simplify right side
    126,511.36x = 16,919,438,795.07
  5. Step 5: Solve for x
    x = 16,919,438,795.07/126,511.36
  6. Step 6: Final answer
    x = 133,738.50

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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.