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Finding the Fourth Proportional to 126,453.68, 189,680.52 and 37,769.48

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Solution

The fourth proportional to 126,453.68, 189,680.52 and 37,769.48 is: 56,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,453.68 : 189,680.52 = 37,769.48 : x
  2. Step 2: Convert to fraction form
    126,453.68/189,680.52 = 37,769.48/x
  3. Step 3: Cross multiply
    126,453.68x = 189,680.52 × 37,769.48
  4. Step 4: Simplify right side
    126,453.68x = 7,164,134,606.53
  5. Step 5: Solve for x
    x = 7,164,134,606.53/126,453.68
  6. Step 6: Final answer
    x = 56,654.22

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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.