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Finding the Fourth Proportional to 195,635.56, 293,491.26 and 83,313.88

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Solution

The fourth proportional to 195,635.56, 293,491.26 and 83,313.88 is: 124,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,635.56 : 293,491.26 = 83,313.88 : x
  2. Step 2: Convert to fraction form
    195,635.56/293,491.26 = 83,313.88/x
  3. Step 3: Cross multiply
    195,635.56x = 293,491.26 × 83,313.88
  4. Step 4: Simplify right side
    195,635.56x = 24,451,895,616.69
  5. Step 5: Solve for x
    x = 24,451,895,616.69/195,635.56
  6. Step 6: Final answer
    x = 124,986.97

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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.